Add 20/27 and 7/21
20/27 + 7/21 is 29/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
20/27 = 20 × 7/27 × 7 = 140/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
7/21 = 7 × 9/21 × 9 = 63/189 - Add the two like fractions:
140/189 + 63/189 = 140 + 63/189 = 203/189 - 203/189 simplified gives 29/27
- So, 20/27 + 7/21 = 29/27
In mixed form: 12/27
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