Add 45/64 and 30/42
45/64 + 30/42 is 635/448.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 42 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 64 × 21 = 1344,
45/64 = 45 × 21/64 × 21 = 945/1344 - Likewise, for the 2nd fraction, since 42 × 32 = 1344,
30/42 = 30 × 32/42 × 32 = 960/1344 - Add the two like fractions:
945/1344 + 960/1344 = 945 + 960/1344 = 1905/1344 - 1905/1344 simplified gives 635/448
- So, 45/64 + 30/42 = 635/448
In mixed form: 1187/448
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