Add 21/36 and 30/42
21/36 + 30/42 is 109/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 42 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
21/36 = 21 × 7/36 × 7 = 147/252 - Likewise, for the 2nd fraction, since 42 × 6 = 252,
30/42 = 30 × 6/42 × 6 = 180/252 - Add the two like fractions:
147/252 + 180/252 = 147 + 180/252 = 327/252 - 327/252 simplified gives 109/84
- So, 21/36 + 30/42 = 109/84
In mixed form: 125/84
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