Add 48/45 and 21/84, Solve 1 3/45 + 21/84 as a fraction

Add 48/45 and 21/84

1^st number: 1 3/45, 2^nd number: 21/84

48/45 + 21/84 is 79/60.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260

Next, find the equivalent fraction of both fractional numbers with denominator 1260
For the 1st fraction, since 45 × 28 = 1260,
48/45 = 48 × 28/45 × 28 = 1344/1260
Likewise, for the 2nd fraction, since 84 × 15 = 1260,
21/84 = 21 × 15/84 × 15 = 315/1260
Add the two like fractions:
1344/1260 + 315/1260 = 1344 + 315/1260 = 1659/1260
1659/1260 simplified gives 79/60
So, 48/45 + 21/84 = 79/60
In mixed form: 119/60

MathStep (Works offline)

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