Add 45/49 and 30/63
45/49 + 30/63 is 205/147.
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,
45/49 = 45 × 9/49 × 9 = 405/441 - Likewise, for the 2nd fraction, since 63 × 7 = 441,
30/63 = 30 × 7/63 × 7 = 210/441 - Add the two like fractions:
405/441 + 210/441 = 405 + 210/441 = 615/441 - 615/441 simplified gives 205/147
- So, 45/49 + 30/63 = 205/147
In mixed form: 158/147
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