Add 30/42 and 21/49
30/42 + 21/49 is 8/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
30/42 = 30 × 7/42 × 7 = 210/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
21/49 = 21 × 6/49 × 6 = 126/294 - Add the two like fractions:
210/294 + 126/294 = 210 + 126/294 = 336/294 - 336/294 simplified gives 8/7
- So, 30/42 + 21/49 = 8/7
In mixed form: 11/7
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