Add 4/42 and 42/49
4/42 + 42/49 is 20/21.
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,
4/42 = 4 × 7/42 × 7 = 28/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
42/49 = 42 × 6/49 × 6 = 252/294 - Add the two like fractions:
28/294 + 252/294 = 28 + 252/294 = 280/294 - 280/294 simplified gives 20/21
- So, 4/42 + 42/49 = 20/21
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