Add 36/80 and 49/28, Solve 36/80 + 1 21/28 as a fraction

Add 36/80 and 49/28

1^st number: 36/80, 2^nd number: 1 21/28

36/80 + 49/28 is 11/5.

Find the least common denominator or LCM of the two denominators:
LCM of 80 and 28 is 560

Next, find the equivalent fraction of both fractional numbers with denominator 560
For the 1st fraction, since 80 × 7 = 560,
36/80 = 36 × 7/80 × 7 = 252/560
Likewise, for the 2nd fraction, since 28 × 20 = 560,
49/28 = 49 × 20/28 × 20 = 980/560
Add the two like fractions:
252/560 + 980/560 = 252 + 980/560 = 1232/560
1232/560 simplified gives 11/5
So, 36/80 + 49/28 = 11/5
In mixed form: 21/5

MathStep (Works offline)

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