Add 21/30 and 14/42
21/30 + 14/42 is 31/30.
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,
14/42 = 14 × 5/42 × 5 = 70/210 - Add the two like fractions:
147/210 + 70/210 = 147 + 70/210 = 217/210 - 217/210 simplified gives 31/30
- So, 21/30 + 14/42 = 31/30
In mixed form: 11/30
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