Add 1/42 and 42/49
1/42 + 42/49 is 37/42.
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,
1/42 = 1 × 7/42 × 7 = 7/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
42/49 = 42 × 6/49 × 6 = 252/294 - Add the two like fractions:
7/294 + 252/294 = 7 + 252/294 = 259/294 - 259/294 simplified gives 37/42
- So, 1/42 + 42/49 = 37/42
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