Add 40/49 and 30/63
40/49 + 30/63 is 190/147.
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,
30/63 = 30 × 7/63 × 7 = 210/441 - Add the two like fractions:
360/441 + 210/441 = 360 + 210/441 = 570/441 - 570/441 simplified gives 190/147
- So, 40/49 + 30/63 = 190/147
In mixed form: 143/147
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