Add 10/30 and 45/14, Solve 10/30 + 3 3/14 as a fraction

Add 10/30 and 45/14

1^st number: 10/30, 2^nd number: 3 3/14

10/30 + 45/14 is 149/42.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 30 × 7 = 210,
10/30 = 10 × 7/30 × 7 = 70/210
Likewise, for the 2nd fraction, since 14 × 15 = 210,
45/14 = 45 × 15/14 × 15 = 675/210
Add the two like fractions:
70/210 + 675/210 = 70 + 675/210 = 745/210
745/210 simplified gives 149/42
So, 10/30 + 45/14 = 149/42
In mixed form: 323/42

MathStep (Works offline)

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