Add 35/49 and 20/32
35/49 + 20/32 is 75/56.
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,
35/49 = 35 × 32/49 × 32 = 1120/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
20/32 = 20 × 49/32 × 49 = 980/1568 - Add the two like fractions:
1120/1568 + 980/1568 = 1120 + 980/1568 = 2100/1568 - 2100/1568 simplified gives 75/56
- So, 35/49 + 20/32 = 75/56
In mixed form: 119/56
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