Add 21/30 and 27/42
21/30 + 27/42 is 47/35.
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,
27/42 = 27 × 5/42 × 5 = 135/210 - Add the two like fractions:
147/210 + 135/210 = 147 + 135/210 = 282/210 - 282/210 simplified gives 47/35
- So, 21/30 + 27/42 = 47/35
In mixed form: 112/35
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