Add 8/15 and 30/40
8/15 + 30/40 is 77/60.
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,
8/15 = 8 × 8/15 × 8 = 64/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
30/40 = 30 × 3/40 × 3 = 90/120 - Add the two like fractions:
64/120 + 90/120 = 64 + 90/120 = 154/120 - 154/120 simplified gives 77/60
- So, 8/15 + 30/40 = 77/60
In mixed form: 117/60
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