Add 5/12 and 49/40, Solve 5/12 + 1 9/40 as a fraction

Add 5/12 and 49/40

1^st number: 5/12, 2^nd number: 1 9/40

5/12 + 49/40 is 197/120.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 40 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 12 × 10 = 120,
5/12 = 5 × 10/12 × 10 = 50/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
49/40 = 49 × 3/40 × 3 = 147/120
Add the two like fractions:
50/120 + 147/120 = 50 + 147/120 = 197/120
So, 5/12 + 49/40 = 197/120
In mixed form: 177/120

MathStep (Works offline)

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