Add 30/36 and 9/14
30/36 + 9/14 is 31/21.
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,
30/36 = 30 × 7/36 × 7 = 210/252 - Likewise, for the 2nd fraction, since 14 × 18 = 252,
9/14 = 9 × 18/14 × 18 = 162/252 - Add the two like fractions:
210/252 + 162/252 = 210 + 162/252 = 372/252 - 372/252 simplified gives 31/21
- So, 30/36 + 9/14 = 31/21
In mixed form: 110/21
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