Add 40/42 and 7/49
40/42 + 7/49 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,
40/42 = 40 × 7/42 × 7 = 280/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
7/49 = 7 × 6/49 × 6 = 42/294 - Add the two like fractions:
280/294 + 42/294 = 280 + 42/294 = 322/294 - 322/294 simplified gives 23/21
- So, 40/42 + 7/49 = 23/21
In mixed form: 12/21
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