Add 54/84 and 60/64
54/84 + 60/64 is 177/112.
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,
54/84 = 54 × 16/84 × 16 = 864/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
60/64 = 60 × 21/64 × 21 = 1260/1344 - Add the two like fractions:
864/1344 + 1260/1344 = 864 + 1260/1344 = 2124/1344 - 2124/1344 simplified gives 177/112
- So, 54/84 + 60/64 = 177/112
In mixed form: 165/112
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