Add 35/7 and 70/27
1st number: 5 0/7, 2nd number: 2 16/27
35/7 + 70/27 is 205/27.
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,
35/7 = 35 × 27/7 × 27 = 945/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
70/27 = 70 × 7/27 × 7 = 490/189 - Add the two like fractions:
945/189 + 490/189 = 945 + 490/189 = 1435/189 - 1435/189 simplified gives 205/27
- So, 35/7 + 70/27 = 205/27
In mixed form: 716/27
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