Add 8/15 and 21/27
8/15 + 21/27 is 59/45.
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,
8/15 = 8 × 9/15 × 9 = 72/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
21/27 = 21 × 5/27 × 5 = 105/135 - Add the two like fractions:
72/135 + 105/135 = 72 + 105/135 = 177/135 - 177/135 simplified gives 59/45
- So, 8/15 + 21/27 = 59/45
In mixed form: 114/45
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