Add 35/96 and 40/42
35/96 + 40/42 is 295/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 42 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 96 × 7 = 672,
35/96 = 35 × 7/96 × 7 = 245/672 - Likewise, for the 2nd fraction, since 42 × 16 = 672,
40/42 = 40 × 16/42 × 16 = 640/672 - Add the two like fractions:
245/672 + 640/672 = 245 + 640/672 = 885/672 - 885/672 simplified gives 295/224
- So, 35/96 + 40/42 = 295/224
In mixed form: 171/224
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