Add 30/7 and 40/27
1st number: 4 2/7, 2nd number: 1 13/27
30/7 + 40/27 is 1090/189.
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,
30/7 = 30 × 27/7 × 27 = 810/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
40/27 = 40 × 7/27 × 7 = 280/189 - Add the two like fractions:
810/189 + 280/189 = 810 + 280/189 = 1090/189 - So, 30/7 + 40/27 = 1090/189
In mixed form: 5145/189
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