Add 30/42 and 3/96
30/42 + 3/96 is 167/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 96 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 42 × 16 = 672,
30/42 = 30 × 16/42 × 16 = 480/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
3/96 = 3 × 7/96 × 7 = 21/672 - Add the two like fractions:
480/672 + 21/672 = 480 + 21/672 = 501/672 - 501/672 simplified gives 167/224
- So, 30/42 + 3/96 = 167/224
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