Add 40/49 and 60/63
40/49 + 60/63 is 260/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 63 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 49 × 9 = 441,
40/49 = 40 × 9/49 × 9 = 360/441 - Likewise, for the 2nd fraction, since 63 × 7 = 441,
60/63 = 60 × 7/63 × 7 = 420/441 - Add the two like fractions:
360/441 + 420/441 = 360 + 420/441 = 780/441 - 780/441 simplified gives 260/147
- So, 40/49 + 60/63 = 260/147
In mixed form: 1113/147
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