Add 15/7 and 75/27, Solve 2 1/7 + 2 21/27 as a fraction

Add 15/7 and 75/27

1^st number: 2 1/7, 2^nd number: 2 21/27

15/7 + 75/27 is 310/63.

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,
15/7 = 15 × 27/7 × 27 = 405/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
75/27 = 75 × 7/27 × 7 = 525/189
Add the two like fractions:
405/189 + 525/189 = 405 + 525/189 = 930/189
930/189 simplified gives 310/63
So, 15/7 + 75/27 = 310/63
In mixed form: 458/63

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