Add 10/42 and 42/49
10/42 + 42/49 is 23/21.
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,
10/42 = 10 × 7/42 × 7 = 70/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
42/49 = 42 × 6/49 × 6 = 252/294 - Add the two like fractions:
70/294 + 252/294 = 70 + 252/294 = 322/294 - 322/294 simplified gives 23/21
- So, 10/42 + 42/49 = 23/21
In mixed form: 12/21
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