Add 49/42 and 9/64
1st number: 1 7/42, 2nd number: 9/64
49/42 + 9/64 is 251/192.
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,
9/64 = 9 × 21/64 × 21 = 189/1344 - Add the two like fractions:
1568/1344 + 189/1344 = 1568 + 189/1344 = 1757/1344 - 1757/1344 simplified gives 251/192
- So, 49/42 + 9/64 = 251/192
In mixed form: 159/192
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