Add 3/27 and 75/7, Solve 3/27 + 10 5/7 as a fraction

Add 3/27 and 75/7

1^st number: 3/27, 2^nd number: 10 5/7

3/27 + 75/7 is 682/63.

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,
3/27 = 3 × 7/27 × 7 = 21/189
Likewise, for the 2nd fraction, since 7 × 27 = 189,
75/7 = 75 × 27/7 × 27 = 2025/189
Add the two like fractions:
21/189 + 2025/189 = 21 + 2025/189 = 2046/189
2046/189 simplified gives 682/63
So, 3/27 + 75/7 = 682/63
In mixed form: 1052/63

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