Add 56/63 and 42/45
56/63 + 42/45 is 82/45.
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,
56/63 = 56 × 5/63 × 5 = 280/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Add the two like fractions:
280/315 + 294/315 = 280 + 294/315 = 574/315 - 574/315 simplified gives 82/45
- So, 56/63 + 42/45 = 82/45
In mixed form: 137/45
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