Add 12/15 and 27/40
12/15 + 27/40 is 59/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 15 × 8 = 120,
12/15 = 12 × 8/15 × 8 = 96/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
27/40 = 27 × 3/40 × 3 = 81/120 - Add the two like fractions:
96/120 + 81/120 = 96 + 81/120 = 177/120 - 177/120 simplified gives 59/40
- So, 12/15 + 27/40 = 59/40
In mixed form: 119/40
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