Add 6/5 and 45/42, Solve 1 1/5 + 1 3/42 as a fraction

Add 6/5 and 45/42

1^st number: 1 1/5, 2^nd number: 1 3/42

6/5 + 45/42 is 159/70.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 5 × 42 = 210,
6/5 = 6 × 42/5 × 42 = 252/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
45/42 = 45 × 5/42 × 5 = 225/210
Add the two like fractions:
252/210 + 225/210 = 252 + 225/210 = 477/210
477/210 simplified gives 159/70
So, 6/5 + 45/42 = 159/70
In mixed form: 219/70

MathStep (Works offline)

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