Add 21/36 and 9/16
21/36 + 9/16 is 55/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 36 × 4 = 144,
21/36 = 21 × 4/36 × 4 = 84/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
9/16 = 9 × 9/16 × 9 = 81/144 - Add the two like fractions:
84/144 + 81/144 = 84 + 81/144 = 165/144 - 165/144 simplified gives 55/48
- So, 21/36 + 9/16 = 55/48
In mixed form: 17/48
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