You might like to read Adding Fractions first. Show
There are 3 simple steps to subtract fractions
Example 1: 3 4 − 1 4Step 1. The bottom numbers are already the same. Go straight to step 2. Step 2. Subtract the top numbers and put the answer over the same denominator: 3 4 − 1 4 = 3 − 1 4 = 2 4
2 4 = 1 2 (If you are unsure of the last step see Equivalent Fractions.) Example 2: 1 2 − 1 6Step 1. The bottom numbers are different. See how the slices are different sizes? We need to make them the same before we can continue, because we can't subtract them like this:
To make the bottom numbers the same, multiply the top and bottom of the first fraction (1/2) by 3 like this:
And now our question looks like this: The bottom numbers (the denominators) are the same, so we can go to step 2. Step 2. Subtract the top numbers and put the answer over the same denominator: 3 6 − 1 6 = 3 − 1 6 = 2 6 In picture form it looks like this:
2 6 = 1 3 With Pen and PaperAnd here is how to do it with a pen and paper (press the play button): Subtracting Mixed FractionsI have a special page on Adding and Subtracting Mixed Fractions. Making the Denominators the SameIn the previous example it was easy to make the denominators the same, but it can be harder ... so you may need to use either the
They both work, use which one you prefer! Example: Cupcakes You want to sell cupcakes at a market:You get paid 2 5 of total salesBut you have to pay 1 4 of total sales for the stallHow much do you get?We need to subtract 1 4 from 2 5 2 5 − 1 4 = ? ? First make the bottom numbers (the denominators) the same. Multiply top and bottom of 2/5 by 4: 2 × 4 5 × 4 − 1 4 = ? ? And multiply top and bottom of 1/4 by 5: 2 × 4 5 × 4 − 1 × 5 4 × 5 = ? ? Now do the calculations: 8 20 − 5 20 = 8 − 5 20 = 3 20 Answer: you get to keep 3 20of total sales. How do you subtract mixed fractions when the first numerator is smaller?Change the mixed number (with 1 as the whole number) into an improper fraction. Subtract the whole number of the smaller mixed number from the whole number of the new larger mixed number. If the proper fractions have similar denominators, subtract the numerators directly and remain the denominator as it is.
|