Number Theory and Fractions



Popular Tutorials in Number Theory and Fractions

    • How Do You Write the Prime Factorization of a Number Using Exponents?How Do You Write the Prime Factorization of a Number Using Exponents?

    How Do You Write the Prime Factorization of a Number Using Exponents?

    When you're writing the prime factorization of a number, you may be able to use exponents to quickly show all the factors. This tutorial shows you how to find the prime factorization of a number and use exponents to write the answer!

    • How Do You Turn a Mixed Fraction Into an Improper Fraction?How Do You Turn a Mixed Fraction Into an Improper Fraction?

    How Do You Turn a Mixed Fraction Into an Improper Fraction?

    Working with mixed fractions in equations can be tough, but things get easier if you convert them into improper fractions first. Once you learn this skill, you'll find yourself using it all the time, so take look at how to convert a mixed fraction to an improper fraction.

    • How Do You Find a Common Denominator and a Least Common Denominator?How Do You Find a Common Denominator and a Least Common Denominator?

    How Do You Find a Common Denominator and a Least Common Denominator?

    This tutorial gives you some practice finding a common denominator and the least common denominator of three fractions. There's only one least common denominator, but there are many common denominators. This tutorial gives you one. Can you find another?

    • What's a Mixed Number?What's a Mixed Number?

    What's a Mixed Number?

    Fractions come in all sorts of flavors, and in this tutorial you'll learn how to recognize mixed numbers.

    • What's an Improper Fraction?What's an Improper Fraction?

    What's an Improper Fraction?

    Fractions come in all sorts of flavors, and in this tutorial you'll learn how to recognize improper fractions.

    • What's a Prime Number?What's a Prime Number?

    What's a Prime Number?

    Prime numbers aren't too hard to define, but they still puzzle professional mathematicians. Believe it or not, all over the word computers are chugging away, trying to find the next biggest prime! Bigger and bigger prime numbers help keep your credit card info safe through really cool encryption techniques. So prime numbers really matter every day, and you can learn how they are defined in this tutorial.

    • How Do You Turn an Improper Fraction Into a Mixed Fraction?How Do You Turn an Improper Fraction Into a Mixed Fraction?

    How Do You Turn an Improper Fraction Into a Mixed Fraction?

    In math, it's often important to change a fraction from one type to another. It can help you work with the fraction in an equation or help make more sense of an answer. This tutorial shows you how to convert an improper fraction to a mixed fraction.

    • How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?

    How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?

    This tutorial uses something called a factor tree to find the greatest common factor of two numbers. Creating a factor tree for a number makes it easier to find its prime factors. These prime factors are used to help find the greatest common factor. Watch this tutorial and learn how to find the greatest common factor using a factor tree.

    • How Do You Find the Greatest Common Factor of Three Numbers?How Do You Find the Greatest Common Factor of Three Numbers?

    How Do You Find the Greatest Common Factor of Three Numbers?

    To find the greatest common factor (GCF) between numbers, take each number and write it's prime factorization. Then, identify the factors common to each number and multiply those common factors together. Bam! The GCF! To see an example worked out, check out this tutorial!

    • How Do You Find the Prime Factorization of a Number Using a Tree?How Do You Find the Prime Factorization of a Number Using a Tree?

    How Do You Find the Prime Factorization of a Number Using a Tree?

    To write the prime factorization for a number, it's often useful to use something called a factor tree. Follow along with this tutorial and see how to use a factor tree to find the prime factorization of a given number.

    • What's Another Definition for Prime and Composite Numbers?What's Another Definition for Prime and Composite Numbers?

    What's Another Definition for Prime and Composite Numbers?

    If the only factors a number are 1 and itself, then that number is prime. A number that is not prime is called composite. Learn about prime and composite numbers by watching this tutorial!

    • How Do You Order Fractions and Decimals From Greatest to Least?How Do You Order Fractions and Decimals From Greatest to Least?

    How Do You Order Fractions and Decimals From Greatest to Least?

    If you want to compare different types of numbers, start by converting all of them to one type of number! This tutorial shows you an example of this involving fractions and decimals!

    • How Do You Find a Missing Value to Make Two Fractions Equivalent?How Do You Find a Missing Value to Make Two Fractions Equivalent?

    How Do You Find a Missing Value to Make Two Fractions Equivalent?

    It's important to know how to make equivalent fractions. In this tutorial, you'll see how to create an equivalent fraction when you have a fraction and the denominator of an equivalent fraction!

    • How Do You Write a Fraction in Simplest Form Using the GCF?How Do You Write a Fraction in Simplest Form Using the GCF?

    How Do You Write a Fraction in Simplest Form Using the GCF?

    When you get a fraction as an answer, you're usually asked to write it in its simplest form. This tutorial shows you how to use the GCF of the numerator and denominator to fully simplify a fraction!

    • What is a Factor?What is a Factor?

    What is a Factor?

    The term 'factor' is seen a lot in math, so it's important to know what it means. This tutorial introduces you to that term!

    • What is a Greatest Common Factor?What is a Greatest Common Factor?

    What is a Greatest Common Factor?

    Being able to take out a greatest common factor can make a problem easier to work with, but before you do that, you need to understand what a greatest common factor is. This tutorial explains exactly that!

    • What is Simplest Form of a Fraction?What is Simplest Form of a Fraction?

    What is Simplest Form of a Fraction?

    Are you ever asked to put your fraction answer into simplest form? Wonder what 'simplest form' means? This tutorial explores exactly that! Take a look at what a fraction needs in order to be in simplest form.

    • How Do You Find the Least Common Multiple by Listing Common Multiples?How Do You Find the Least Common Multiple by Listing Common Multiples?

    How Do You Find the Least Common Multiple by Listing Common Multiples?

    Looking for practice finding the least common multiple (LCM)? Then be sure to check out this tutorial! Follow along with this tutorial as it goes through the process of listing multiples of given numbers and identifying the smallest of these multiples in order to find the LCM. Take a look!

    • How Do You Find the Least Common Multiple by Multiplying Common Factors?How Do You Find the Least Common Multiple by Multiplying Common Factors?

    How Do You Find the Least Common Multiple by Multiplying Common Factors?

    Looking for practice finding the least common multiple (LCM)? Then be sure to check out this tutorial! Follow along with this tutorial as it goes through the process of using a factor tree for each given number in order to help find the LCM.

    • How Do You Put Fractions in Order Using an LCD?How Do You Put Fractions in Order Using an LCD?

    How Do You Put Fractions in Order Using an LCD?

    Ordering fractions from least to greatest? Don't have common denominators? You could find the least common denominator (LCD) of the fractions and write equivalent fractions with this LCD. Then, compare the numerators to figure out their order from least to greatest! This tutorial shows you how!

    • How Do You Check if a Number is Divisible by 2, 3, 5, 6, and 10?How Do You Check if a Number is Divisible by 2, 3, 5, 6, and 10?

    How Do You Check if a Number is Divisible by 2, 3, 5, 6, and 10?

    Learning about divisibility? Take a look at this tutorial! You'll see how to test if a number is divisible by 2, 3, 5, 6, and 10 using some cool tricks!

    • How Do You Find All the Factors of a Number?How Do You Find All the Factors of a Number?

    How Do You Find All the Factors of a Number?

    Trying to find all the factors of a number? Setting up a table can be really helpful! Check out this tutorial to see how to use a table to find all the factors of a given number.

    • How Do You Factor a Greatest Common Factor Out of an Algebraic Expression?How Do You Factor a Greatest Common Factor Out of an Algebraic Expression?

    How Do You Factor a Greatest Common Factor Out of an Algebraic Expression?

    The greatest common factor (GCF) is the largest factor two or more numbers have in common. Finding the GCF can be very useful in simplifying an expression or solving an equation. In this tutorial, see how to identify the GCF of an expression and factor it out. Check it out!

    • How Do You Find the Greatest Common Factor of Two Numbers by Listing Their Factors?How Do You Find the Greatest Common Factor of Two Numbers by Listing Their Factors?

    How Do You Find the Greatest Common Factor of Two Numbers by Listing Their Factors?

    The greatest common factor (GCF) is the largest factor two or more numbers have in common. Finding the GCF can be very useful in simplifying an expression or solving an equation. Watch this tutorial and learn what it takes to find the GCF of two numbers!

    • How Do You Compare Fractions by Finding a Common Denominator?How Do You Compare Fractions by Finding a Common Denominator?

    How Do You Compare Fractions by Finding a Common Denominator?

    Ordering fractions from least to greatest? Don't have common denominators? Find a common denominator by multiplying the denominators together. Use that common denominator to create equivalent fractions. Then, compare the numerators to figure out which is bigger! This tutorial shows you how!

    • What is a Multiple?What is a Multiple?

    What is a Multiple?

    Being able to find multiples of a number is important, especially if you want to find the least common multiple (LCM) between numbers. In this tutorial, you'll be introduced to the term multiple. You'll also see how to find multiples of a given number!

    • What is a Common Multiple and Least Common Multiple?What is a Common Multiple and Least Common Multiple?

    What is a Common Multiple and Least Common Multiple?

    Sometimes terms in math do a pretty good job of describing the thing they name. This is the case with common multiple and least common multiple (LCM). A common multiple is a multiple that two or more numbers have in common. You can probably guess what a least common multiple is! To get more information about these terms, check out this tutorial!

    • What are Equivalent Fractions?What are Equivalent Fractions?

    What are Equivalent Fractions?

    Finding equivalent fractions is an important part of things like adding, subtracting, and comparing fractions. But what are they? In this tutorial, you'll learn that equivalent fractions are just fractions that have the same value, even though they may look very different! Take a look at equivalent fractions by watching this tutorial!

    • What Does Divisibility Mean?What Does Divisibility Mean?

    What Does Divisibility Mean?

    Divisibility is an important part of math. When you're finding the factors of a number, you need to figure out what numbers you number is divisible by. Take a look at this tutorial and learn about divisibility!

    • How Do You Turn a Fraction Into a Terminating Decimal?How Do You Turn a Fraction Into a Terminating Decimal?

    How Do You Turn a Fraction Into a Terminating Decimal?

    Did you know that a fraction just represents a division? To turn a fraction into a decimal, divide the numerator by the denominator. In this tutorial, see how to convert a fraction into the terminating decimal it represents.

    • How Do You Turn a Terminating Decimal Into a Fraction?How Do You Turn a Terminating Decimal Into a Fraction?

    How Do You Turn a Terminating Decimal Into a Fraction?

    If you have a terminating decimal, you can rewrite it as a fraction! Check out this tutorial to learn how to convert a terminating decimal into a fraction.

    • How Do You Turn a Fraction Into a Repeating Decimal?How Do You Turn a Fraction Into a Repeating Decimal?

    How Do You Turn a Fraction Into a Repeating Decimal?

    Did you know that a fraction just represents a division? To turn a fraction into a decimal, divide the numerator by the denominator. In this tutorial, see how to convert a fraction into the repeating decimal it represents.

    • What is a Terminating Decimal?What is a Terminating Decimal?

    What is a Terminating Decimal?

    A terminating decimal is a decimal that ends. It's a decimal with a finite number of digits. Did you know that all terminating decimals can be rewritten as fractions? Watch this tutorial to learn about terminating decimals and see some examples!

    • What is a Repeating Decimal?What is a Repeating Decimal?

    What is a Repeating Decimal?

    A repeating decimal is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending. Did you know that all repeating decimals can be rewritten as fractions? To make these kinds of decimals easier to write, there's a special notation you can use! Learn about repeating decimals in this tutorial.