Add 4/15 and 21/27
4/15 + 21/27 is 47/45.
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,
4/15 = 4 × 9/15 × 9 = 36/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
21/27 = 21 × 5/27 × 5 = 105/135 - Add the two like fractions:
36/135 + 105/135 = 36 + 105/135 = 141/135 - 141/135 simplified gives 47/45
- So, 4/15 + 21/27 = 47/45
In mixed form: 12/45
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