Add 10/15 and 20/27
10/15 + 20/27 is 38/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 15 × 9 = 135,
10/15 = 10 × 9/15 × 9 = 90/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
20/27 = 20 × 5/27 × 5 = 100/135 - Add the two like fractions:
90/135 + 100/135 = 90 + 100/135 = 190/135 - 190/135 simplified gives 38/27
- So, 10/15 + 20/27 = 38/27
In mixed form: 111/27
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