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Subtracting proper fractions with improper fractions

How to subtract improper fractions and proper fractions?

Examples of subtracting proper fractions and improper fractions

Example 1.

Subtract an improper fraction and a proper fraction:

5 - 3
24

Solution.

5 - 3 = 
24
5 * 2 - 3 = 
2 * 24
10 - 3 = 7
444

Convert the improper fraction into a mixed fraction:

7 = 13
44

Answer

5 - 3 = 13
244

Example 2.

Subtract an improper fraction and a proper fraction:

10 - 14
317

Solution.

10 - 14 = 
317
10 * 17 - 14 * 3 = 
3 * 1717 * 3
170 - 42 = 128
515151

Convert the improper fraction into a mixed fraction:

128 = 226
5151

Answer

10 - 14 = 226
31751