Add 30/42 and 30/96
30/42 + 30/96 is 115/112.
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,
30/96 = 30 × 7/96 × 7 = 210/672 - Add the two like fractions:
480/672 + 210/672 = 480 + 210/672 = 690/672 - 690/672 simplified gives 115/112
- So, 30/42 + 30/96 = 115/112
In mixed form: 13/112
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