Add 21/14 and 6/45, Solve 1 7/14 + 6/45 as a fraction

Add 21/14 and 6/45

1^st number: 1 7/14, 2^nd number: 6/45

21/14 + 6/45 is 49/30.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 45 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 14 × 45 = 630,
21/14 = 21 × 45/14 × 45 = 945/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
6/45 = 6 × 14/45 × 14 = 84/630
Add the two like fractions:
945/630 + 84/630 = 945 + 84/630 = 1029/630
1029/630 simplified gives 49/30
So, 21/14 + 6/45 = 49/30
In mixed form: 119/30

MathStep (Works offline)

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