Add 75/64 and 30/84
1st number: 1 11/64, 2nd number: 30/84
75/64 + 30/84 is 685/448.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 84 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 64 × 21 = 1344,
75/64 = 75 × 21/64 × 21 = 1575/1344 - Likewise, for the 2nd fraction, since 84 × 16 = 1344,
30/84 = 30 × 16/84 × 16 = 480/1344 - Add the two like fractions:
1575/1344 + 480/1344 = 1575 + 480/1344 = 2055/1344 - 2055/1344 simplified gives 685/448
- So, 75/64 + 30/84 = 685/448
In mixed form: 1237/448
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