Add 7/45 and 50/42, Solve 7/45 + 1 8/42 as a fraction

Add 7/45 and 50/42

1^st number: 7/45, 2^nd number: 1 8/42

7/45 + 50/42 is 424/315.

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,
50/42 = 50 × 15/42 × 15 = 750/630
Add the two like fractions:
98/630 + 750/630 = 98 + 750/630 = 848/630
848/630 simplified gives 424/315
So, 7/45 + 50/42 = 424/315
In mixed form: 1109/315

MathStep (Works offline)

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