Add 27/42 and 70/64
1st number: 27/42, 2nd number: 1 6/64
27/42 + 70/64 is 389/224.
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,
27/42 = 27 × 32/42 × 32 = 864/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
70/64 = 70 × 21/64 × 21 = 1470/1344 - Add the two like fractions:
864/1344 + 1470/1344 = 864 + 1470/1344 = 2334/1344 - 2334/1344 simplified gives 389/224
- So, 27/42 + 70/64 = 389/224
In mixed form: 1165/224
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