Add 27/40 and 42/63
27/40 + 42/63 is 161/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 63 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 40 × 63 = 2520,
27/40 = 27 × 63/40 × 63 = 1701/2520 - Likewise, for the 2nd fraction, since 63 × 40 = 2520,
42/63 = 42 × 40/63 × 40 = 1680/2520 - Add the two like fractions:
1701/2520 + 1680/2520 = 1701 + 1680/2520 = 3381/2520 - 3381/2520 simplified gives 161/120
- So, 27/40 + 42/63 = 161/120
In mixed form: 141/120
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