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High School Algebra I: Help and Review25 chapters | 292 lessons

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Lesson Transcript

Instructor:
*Jasmine Cetrone*

Jasmine has taught college Mathematics and Meteorology and has a master's degree in applied mathematics and atmospheric sciences.

In this lesson, we will refresh some of our fraction terminology. We will then describe what like fractions are, look at some examples, and explain why they're so useful!

In this lesson, we'll be looking at like fractions, but just in case it's been a while since you've studied fractions, let's get some of the terminology straight so we all know what we're talking about before we dive into talking about like fractions.

A fraction represents parts of a whole, and is defined by two numbers, one on top of the fraction bar and one on the bottom. The bottom number is called the **denominator** and represents how many pieces a whole is split up into. The top number is the **numerator** and this tells us how many pieces of that whole we are working with.

For example, if John has a small pie that has been cut into eight slices, then eight slices represents the whole pie, so the number eight would be in the denominator. Now, let's say he has a sweet tooth and eat three of the slices. If we want to represent what fraction of the pie John ate, we know that he has eaten three of the eight pieces, so three would be the numerator. So for our example we would have:

Thankfully, recognizing like fractions is easy as pie! **Like fractions** are fractions that have the exact same denominator. That's it! We would be working with wholes that are split into the same number of pieces. It doesn't matter what the numerator is, so long as the denominators are the same.

So what this means is that if John have a pie and his sister has a pie, like fractions don't care how much of the pie we both eat so long as they're cut into the same number of pieces. The following figure represents two situations with pies and fractions that are like, and one situation where they are **unlilke fractions** (they have different denominators).

Like fractions are very easy to compare, whereas unlike fractions can be very challenging!

For example, let's say Shawn and Juanita each buy a bar of chocolate that is broken up into 21 pieces. Shawn has eaten 1/3 of his chocolate bar and Juanita has eaten 2/7 of her chocolate bar. Who has eaten more? Well, it's really hard to tell because these are unlike fractions! But let's take a look at the actual chocolate bars for help!

Shawn's 1/3 of the chocolate is actually 7 of the 21 pieces, so can also be written as 7/21. Juanita's 2/7 of her chocolate bar is 6 of the 21 pieces, so the fraction of chocolate pieces she ate is 6/21. Now that the fraction that Shawn and Juanita ate are like fractions because 7/21 and 6/21 each have the same denominator! Now it's much easier to see that Shawn has eaten a little bit more of the chocolate than Juanita because 7/21 > 6/21.

Let's review:

**Like fractions** are easy to identify because they have the same value in the denominator. Remember, it doesn't matter what number in the numerator. If the number in the denominator is different, then you know those are **unlike fractions**. Comparing two fractions is easy if they are like fractions!

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High School Algebra I: Help and Review25 chapters | 292 lessons

- What is a Decimal Place Value? 6:19
- Comparing and Ordering Decimals 8:56
- Addition, Subtraction, Multiplication, and Division with Decimal Notation 4:50
- Adding and Subtracting Decimals: Examples & Word Problems 6:53
- Multiplying and Dividing Decimals: Examples & Word Problems 5:29
- How to Estimate with Decimals to Solve Math Problems 8:51
- How to Build and Reduce Fractions 3:55
- How to Find Least Common Denominators 4:30
- Comparing and Ordering Fractions 7:33
- Changing Between Improper Fraction and Mixed Number Form 4:55
- How to Add and Subtract Like Fractions and Mixed Numbers 4:14
- How to Add and Subtract Unlike Fractions and Mixed Numbers 6:46
- Multiplying Fractions and Mixed Numbers 7:23
- Dividing Fractions and Mixed Numbers 7:12
- Practice with Fraction and Mixed Number Arithmetic 7:50
- Estimation Problems using Fractions 7:37
- Solving Problems using Fractions and Mixed Numbers 7:08
- How to Solve Complex Fractions 5:20
- Using the Number Line to Compare Decimals, Fractions, and Whole Numbers 6:46
- How to Simplify Word Problems with Fractions Using Whole Numbers 3:38
- How to Solve Algebra Problems with Fractions
- How to Reduce or Simplify Improper Fractions 6:37
- What Are Like Fractions? - Definition & Examples 3:05
- Partial Fraction Decomposition: Rules & Examples 14:09
- Partial Fractions: Rules, Formula & Examples 4:44
- Unlike Fractions: Definition & Examples 5:54
- Go to High School Algebra - Decimals and Fractions: Help and Review

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