Add 21/30 and 15/42
21/30 + 15/42 is 37/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
21/30 = 21 × 7/30 × 7 = 147/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
15/42 = 15 × 5/42 × 5 = 75/210 - Add the two like fractions:
147/210 + 75/210 = 147 + 75/210 = 222/210 - 222/210 simplified gives 37/35
- So, 21/30 + 15/42 = 37/35
In mixed form: 12/35
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