Add 48/40 and 21/49, Solve 1 8/40 + 21/49 as a fraction

Add 48/40 and 21/49

1^st number: 1 8/40, 2^nd number: 21/49

48/40 + 21/49 is 57/35.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960

Next, find the equivalent fraction of both fractional numbers with denominator 1960
For the 1st fraction, since 40 × 49 = 1960,
48/40 = 48 × 49/40 × 49 = 2352/1960
Likewise, for the 2nd fraction, since 49 × 40 = 1960,
21/49 = 21 × 40/49 × 40 = 840/1960
Add the two like fractions:
2352/1960 + 840/1960 = 2352 + 840/1960 = 3192/1960
3192/1960 simplified gives 57/35
So, 48/40 + 21/49 = 57/35
In mixed form: 122/35

MathStep (Works offline)

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