Add 16/36 and 9/14
16/36 + 9/14 is 137/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 14 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
16/36 = 16 × 7/36 × 7 = 112/252 - Likewise, for the 2nd fraction, since 14 × 18 = 252,
9/14 = 9 × 18/14 × 18 = 162/252 - Add the two like fractions:
112/252 + 162/252 = 112 + 162/252 = 274/252 - 274/252 simplified gives 137/126
- So, 16/36 + 9/14 = 137/126
In mixed form: 111/126
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