Add 49/63 and 42/45
49/63 + 42/45 is 77/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 63 × 5 = 315,
49/63 = 49 × 5/63 × 5 = 245/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Add the two like fractions:
245/315 + 294/315 = 245 + 294/315 = 539/315 - 539/315 simplified gives 77/45
- So, 49/63 + 42/45 = 77/45
In mixed form: 132/45
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