Add 40/49 and 14/56
40/49 + 14/56 is 209/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 56 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 49 × 8 = 392,
40/49 = 40 × 8/49 × 8 = 320/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
14/56 = 14 × 7/56 × 7 = 98/392 - Add the two like fractions:
320/392 + 98/392 = 320 + 98/392 = 418/392 - 418/392 simplified gives 209/196
- So, 40/49 + 14/56 = 209/196
In mixed form: 113/196
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