Add 40/42 and 40/49
40/42 + 40/49 is 260/147.
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,
40/49 = 40 × 6/49 × 6 = 240/294 - Add the two like fractions:
280/294 + 240/294 = 280 + 240/294 = 520/294 - 520/294 simplified gives 260/147
- So, 40/42 + 40/49 = 260/147
In mixed form: 1113/147
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