Add 4/21 and 30/36
4/21 + 30/36 is 43/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 21 × 12 = 252,
4/21 = 4 × 12/21 × 12 = 48/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
30/36 = 30 × 7/36 × 7 = 210/252 - Add the two like fractions:
48/252 + 210/252 = 48 + 210/252 = 258/252 - 258/252 simplified gives 43/42
- So, 4/21 + 30/36 = 43/42
In mixed form: 11/42
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