Add 21/7 and 45/27
1st number: 3 0/7, 2nd number: 1 18/27
21/7 + 45/27 is 14/3.
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,
45/27 = 45 × 7/27 × 7 = 315/189 - Add the two like fractions:
567/189 + 315/189 = 567 + 315/189 = 882/189 - 882/189 simplified gives 14/3
- So, 21/7 + 45/27 = 14/3
In mixed form: 42/3
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