Add 21/7 and 18/27
1st number: 3 0/7, 2nd number: 18/27
21/7 + 18/27 is 11/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 7 × 27 = 189,
21/7 = 21 × 27/7 × 27 = 567/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
18/27 = 18 × 7/27 × 7 = 126/189 - Add the two like fractions:
567/189 + 126/189 = 567 + 126/189 = 693/189 - 693/189 simplified gives 11/3
- So, 21/7 + 18/27 = 11/3
In mixed form: 32/3
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