Add 7/45 and 56/42, Solve 7/45 + 1 14/42 as a fraction

Add 7/45 and 56/42

1^st number: 7/45, 2^nd number: 1 14/42

7/45 + 56/42 is 67/45.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 42 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 45 × 14 = 630,
7/45 = 7 × 14/45 × 14 = 98/630
Likewise, for the 2nd fraction, since 42 × 15 = 630,
56/42 = 56 × 15/42 × 15 = 840/630
Add the two like fractions:
98/630 + 840/630 = 98 + 840/630 = 938/630
938/630 simplified gives 67/45
So, 7/45 + 56/42 = 67/45
In mixed form: 122/45

MathStep (Works offline)

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