Add 40/7 and 9/27
1st number: 5 5/7, 2nd number: 9/27
40/7 + 9/27 is 127/21.
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,
40/7 = 40 × 27/7 × 27 = 1080/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
9/27 = 9 × 7/27 × 7 = 63/189 - Add the two like fractions:
1080/189 + 63/189 = 1080 + 63/189 = 1143/189 - 1143/189 simplified gives 127/21
- So, 40/7 + 9/27 = 127/21
In mixed form: 61/21
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