Add 48/45 and 4/21, Solve 1 3/45 + 4/21 as a fraction

Add 48/45 and 4/21

1^st number: 1 3/45, 2^nd number: 4/21

48/45 + 4/21 is 44/35.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 45 × 7 = 315,
48/45 = 48 × 7/45 × 7 = 336/315
Likewise, for the 2nd fraction, since 21 × 15 = 315,
4/21 = 4 × 15/21 × 15 = 60/315
Add the two like fractions:
336/315 + 60/315 = 336 + 60/315 = 396/315
396/315 simplified gives 44/35
So, 48/45 + 4/21 = 44/35
In mixed form: 19/35

MathStep (Works offline)

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