Add 27/7 and 45/27, Solve 3 6/7 + 1 18/27 as a fraction

Add 27/7 and 45/27

1^st number: 3 6/7, 2^nd number: 1 18/27

27/7 + 45/27 is 116/21.

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,
27/7 = 27 × 27/7 × 27 = 729/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
45/27 = 45 × 7/27 × 7 = 315/189
Add the two like fractions:
729/189 + 315/189 = 729 + 315/189 = 1044/189
1044/189 simplified gives 116/21
So, 27/7 + 45/27 = 116/21
In mixed form: 511/21

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