Add 4/45 and 6/42, Solve 4/45 + 6/42 as a fraction

Add 4/45 and 6/42

4/45 + 6/42 is 73/315.

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,
4/45 = 4 × 14/45 × 14 = 56/630
Likewise, for the 2nd fraction, since 42 × 15 = 630,
6/42 = 6 × 15/42 × 15 = 90/630
Add the two like fractions:
56/630 + 90/630 = 56 + 90/630 = 146/630
146/630 simplified gives 73/315
So, 4/45 + 6/42 = 73/315

MathStep (Works offline)

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