Add 75/63 and 12/27, Solve 1 12/63 + 12/27 as a fraction

Add 75/63 and 12/27

1^st number: 1 12/63, 2^nd number: 12/27

75/63 + 12/27 is 103/63.

Find the least common denominator or LCM of the two denominators:
LCM of 63 and 27 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 63 × 3 = 189,
75/63 = 75 × 3/63 × 3 = 225/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
12/27 = 12 × 7/27 × 7 = 84/189
Add the two like fractions:
225/189 + 84/189 = 225 + 84/189 = 309/189
309/189 simplified gives 103/63
So, 75/63 + 12/27 = 103/63
In mixed form: 140/63

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad