Add 56/45 and 45/49, Solve 1 11/45 + 45/49 as a fraction

Add 56/45 and 45/49

1^st number: 1 11/45, 2^nd number: 45/49

56/45 + 45/49 is 4769/2205.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 49 is 2205

Next, find the equivalent fraction of both fractional numbers with denominator 2205
For the 1st fraction, since 45 × 49 = 2205,
56/45 = 56 × 49/45 × 49 = 2744/2205
Likewise, for the 2nd fraction, since 49 × 45 = 2205,
45/49 = 45 × 45/49 × 45 = 2025/2205
Add the two like fractions:
2744/2205 + 2025/2205 = 2744 + 2025/2205 = 4769/2205
So, 56/45 + 45/49 = 4769/2205
In mixed form: 2359/2205

MathStep (Works offline)

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