Add 42/96 and 30/49
42/96 + 30/49 is 823/784.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 49 is 4704
Next, find the equivalent fraction of both fractional numbers with denominator 4704 - For the 1st fraction, since 96 × 49 = 4704,
42/96 = 42 × 49/96 × 49 = 2058/4704 - Likewise, for the 2nd fraction, since 49 × 96 = 4704,
30/49 = 30 × 96/49 × 96 = 2880/4704 - Add the two like fractions:
2058/4704 + 2880/4704 = 2058 + 2880/4704 = 4938/4704 - 4938/4704 simplified gives 823/784
- So, 42/96 + 30/49 = 823/784
In mixed form: 139/784
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