Add 30/27 and 35/7
1st number: 1 3/27, 2nd number: 5 0/7
30/27 + 35/7 is 55/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
30/27 = 30 × 7/27 × 7 = 210/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
35/7 = 35 × 27/7 × 27 = 945/189 - Add the two like fractions:
210/189 + 945/189 = 210 + 945/189 = 1155/189 - 1155/189 simplified gives 55/9
- So, 30/27 + 35/7 = 55/9
In mixed form: 61/9
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