Add Like Fractions

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Adding Like Fractions

Adding like fractions is a fundamental skill in mathematics, and it’s relatively straightforward once you understand the basics. This concept is explained here in a simple and accessible manner, suitable for younger students like those in 5th grade.

What are Like Fractions?

Like fractions are fractions that have the same denominator (the bottom number). For example, 1/4 and 3/4 are like fractions because they both have the denominator 4.

How to Add Like Fractions

To add like fractions, you simply add the numerators (the top numbers) and keep the denominator the same.

Steps for Adding Like Fractions

  1. Ensure the Denominators are the Same: Check if the fractions have the same denominator.
  2. Add the Numerators: Add the numerators of the fractions.
  3. Write the Sum Over the Common Denominator: The sum of the numerators becomes the new numerator, and the common denominator remains the same.
  4. Simplify if Necessary: If the fraction can be simplified or reduced to a simpler form, do so.

Real-life Examples

Example 1: Pizza Slices

Imagine you have a pizza cut into 8 equal slices. You eat 3 slices, and your friend eats 2 slices. To find out how much pizza you’ve eaten together, add the fractions of the pizza you each ate. You ate 3/8 of the pizza, and your friend ate 2/8 of the pizza. Add these like fractions:

3/8 + 2/8 = 5/8

So, together, you’ve eaten 5/8 of the pizza.

Example 2: Measuring Liquid

Suppose you’re making a drink and you add 1/4 cup of lemon juice and then 1/4 cup of orange juice. To find the total amount of juice added, you add the fractions:

1/4 + 1/4 = 2/4

This simplifies to 1/2 (since 2 is a common factor of both the numerator and the denominator). So, you’ve added a total of 1/2 cup of juice.

Why Add Like Fractions?

Adding like fractions is useful in everyday situations, such as cooking, dividing resources, or any scenario where you need to combine parts of a whole.

 

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