Add 49/42 and 1/64
1st number: 1 7/42, 2nd number: 1/64
49/42 + 1/64 is 227/192.
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,
49/42 = 49 × 32/42 × 32 = 1568/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
1/64 = 1 × 21/64 × 21 = 21/1344 - Add the two like fractions:
1568/1344 + 21/1344 = 1568 + 21/1344 = 1589/1344 - 1589/1344 simplified gives 227/192
- So, 49/42 + 1/64 = 227/192
In mixed form: 135/192
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