Add 8/15 and 21/42
8/15 + 21/42 is 31/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
8/15 = 8 × 14/15 × 14 = 112/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
21/42 = 21 × 5/42 × 5 = 105/210 - Add the two like fractions:
112/210 + 105/210 = 112 + 105/210 = 217/210 - 217/210 simplified gives 31/30
- So, 8/15 + 21/42 = 31/30
In mixed form: 11/30
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