Add 45/84 and 12/9, Solve 45/84 + 1 3/9 as a fraction

Add 45/84 and 12/9

1^st number: 45/84, 2^nd number: 1 3/9

45/84 + 12/9 is 157/84.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 84 × 3 = 252,
45/84 = 45 × 3/84 × 3 = 135/252
Likewise, for the 2nd fraction, since 9 × 28 = 252,
12/9 = 12 × 28/9 × 28 = 336/252
Add the two like fractions:
135/252 + 336/252 = 135 + 336/252 = 471/252
471/252 simplified gives 157/84
So, 45/84 + 12/9 = 157/84
In mixed form: 173/84

MathStep (Works offline)

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