Subtract Like Fractions

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Subtracting Like Fractions

What are Like Fractions?

Like fractions are fractions that have the same denominator (the bottom number). For example, 3/7 and 5/7 are like fractions because they both have the denominator 7.

How to Subtract Like Fractions

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

Steps for Subtracting Like Fractions

  1. Ensure the Denominators are the Same: Check if the fractions have the same denominator.
  2. Subtract the Numerators: Subtract the numerator of the second fraction from the numerator of the first fraction.
  3. Write the Difference Over the Common Denominator: The difference 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: Eating Pizza

Imagine you have a pizza cut into 8 equal slices. You eat 5 slices, and then you feel full and put 2 slices back. To find out how much pizza you’ve eaten now, subtract the fractions of the pizza you put back from what you ate. You ate 5/8 of the pizza and put back 2/8:

5/8 – 2/8 = 3/8

So, after eating and putting some slices back, you’ve eaten 3/8 of the pizza.

Example 2: Filling and Pouring Water

Suppose you have a jug that is 4/5 full of water. You use some water, and now the jug is only 1/5 full. To find out how much water you used, subtract the second fraction from the first:

4/5 – 1/5 = 3/5

You used 3/5 of the jug of water.

Why Subtract Like Fractions?

Subtracting like fractions is useful in everyday situations such as cooking, when you need to measure out ingredients, or in any scenario where you need to determine the difference in quantities.

 

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