Add 42/9 and 10/14, Solve 4 6/9 + 10/14 as a fraction

Add 42/9 and 10/14

1^st number: 4 6/9, 2^nd number: 10/14

42/9 + 10/14 is 113/21.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 9 × 14 = 126,
42/9 = 42 × 14/9 × 14 = 588/126
Likewise, for the 2nd fraction, since 14 × 9 = 126,
10/14 = 10 × 9/14 × 9 = 90/126
Add the two like fractions:
588/126 + 90/126 = 588 + 90/126 = 678/126
678/126 simplified gives 113/21
So, 42/9 + 10/14 = 113/21
In mixed form: 58/21

MathStep (Works offline)

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