Add 10/12 and 75/63, Solve 10/12 + 1 12/63 as a fraction

Add 10/12 and 75/63

1^st number: 10/12, 2^nd number: 1 12/63

10/12 + 75/63 is 85/42.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 63 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 12 × 21 = 252,
10/12 = 10 × 21/12 × 21 = 210/252
Likewise, for the 2nd fraction, since 63 × 4 = 252,
75/63 = 75 × 4/63 × 4 = 300/252
Add the two like fractions:
210/252 + 300/252 = 210 + 300/252 = 510/252
510/252 simplified gives 85/42
So, 10/12 + 75/63 = 85/42
In mixed form: 21/42

MathStep (Works offline)

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