Add 75/96 and 30/42
75/96 + 30/42 is 335/224.
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,
75/96 = 75 × 7/96 × 7 = 525/672 - Likewise, for the 2nd fraction, since 42 × 16 = 672,
30/42 = 30 × 16/42 × 16 = 480/672 - Add the two like fractions:
525/672 + 480/672 = 525 + 480/672 = 1005/672 - 1005/672 simplified gives 335/224
- So, 75/96 + 30/42 = 335/224
In mixed form: 1111/224
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