Add 30/42 and 7/16
30/42 + 7/16 is 129/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 42 × 8 = 336,
30/42 = 30 × 8/42 × 8 = 240/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
7/16 = 7 × 21/16 × 21 = 147/336 - Add the two like fractions:
240/336 + 147/336 = 240 + 147/336 = 387/336 - 387/336 simplified gives 129/112
- So, 30/42 + 7/16 = 129/112
In mixed form: 117/112
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