Add 27/45 and 42/63
27/45 + 42/63 is 19/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 63 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
27/45 = 27 × 7/45 × 7 = 189/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
42/63 = 42 × 5/63 × 5 = 210/315 - Add the two like fractions:
189/315 + 210/315 = 189 + 210/315 = 399/315 - 399/315 simplified gives 19/15
- So, 27/45 + 42/63 = 19/15
In mixed form: 14/15
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