Add 30/42 and 21/64
30/42 + 21/64 is 467/448.
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,
30/42 = 30 × 32/42 × 32 = 960/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
21/64 = 21 × 21/64 × 21 = 441/1344 - Add the two like fractions:
960/1344 + 441/1344 = 960 + 441/1344 = 1401/1344 - 1401/1344 simplified gives 467/448
- So, 30/42 + 21/64 = 467/448
In mixed form: 119/448
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