Add 7/27 and 28/21
1st number: 7/27, 2nd number: 1 7/21
7/27 + 28/21 is 43/27.
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,
7/27 = 7 × 7/27 × 7 = 49/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
28/21 = 28 × 9/21 × 9 = 252/189 - Add the two like fractions:
49/189 + 252/189 = 49 + 252/189 = 301/189 - 301/189 simplified gives 43/27
- So, 7/27 + 28/21 = 43/27
In mixed form: 116/27
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