Add 35/42 and 30/64
35/42 + 30/64 is 125/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 64 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 42 × 32 = 1344,
35/42 = 35 × 32/42 × 32 = 1120/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
30/64 = 30 × 21/64 × 21 = 630/1344 - Add the two like fractions:
1120/1344 + 630/1344 = 1120 + 630/1344 = 1750/1344 - 1750/1344 simplified gives 125/96
- So, 35/42 + 30/64 = 125/96
In mixed form: 129/96
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