Add 40/49 and 20/32
40/49 + 20/32 is 565/392.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 49 × 32 = 1568,
40/49 = 40 × 32/49 × 32 = 1280/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
20/32 = 20 × 49/32 × 49 = 980/1568 - Add the two like fractions:
1280/1568 + 980/1568 = 1280 + 980/1568 = 2260/1568 - 2260/1568 simplified gives 565/392
- So, 40/49 + 20/32 = 565/392
In mixed form: 1173/392
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