Add 75/84 and 27/64
75/84 + 27/64 is 589/448.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 64 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 84 × 16 = 1344,
75/84 = 75 × 16/84 × 16 = 1200/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
27/64 = 27 × 21/64 × 21 = 567/1344 - Add the two like fractions:
1200/1344 + 567/1344 = 1200 + 567/1344 = 1767/1344 - 1767/1344 simplified gives 589/448
- So, 75/84 + 27/64 = 589/448
In mixed form: 1141/448
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