Add 10/21 and 56/45, Solve 10/21 + 1 11/45 as a fraction

Add 10/21 and 56/45

1^st number: 10/21, 2^nd number: 1 11/45

10/21 + 56/45 is 542/315.

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

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 21 × 15 = 315,
10/21 = 10 × 15/21 × 15 = 150/315
Likewise, for the 2nd fraction, since 45 × 7 = 315,
56/45 = 56 × 7/45 × 7 = 392/315
Add the two like fractions:
150/315 + 392/315 = 150 + 392/315 = 542/315
So, 10/21 + 56/45 = 542/315
In mixed form: 1227/315

MathStep (Works offline)

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