Add 2/45 and 63/42, Solve 2/45 + 1 21/42 as a fraction

Add 2/45 and 63/42

1^st number: 2/45, 2^nd number: 1 21/42

2/45 + 63/42 is 139/90.

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,
2/45 = 2 × 14/45 × 14 = 28/630
Likewise, for the 2nd fraction, since 42 × 15 = 630,
63/42 = 63 × 15/42 × 15 = 945/630
Add the two like fractions:
28/630 + 945/630 = 28 + 945/630 = 973/630
973/630 simplified gives 139/90
So, 2/45 + 63/42 = 139/90
In mixed form: 149/90

MathStep (Works offline)

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