Add 72/5 and 1/35, Solve 14 2/5 + 1/35 as a fraction

Add 72/5 and 1/35

1^st number: 14 2/5, 2^nd number: 1/35

72/5 + 1/35 is 101/7.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 35 is 35

Next, find the equivalent fraction of both fractional numbers with denominator 35
For the 1st fraction, since 5 × 7 = 35,
72/5 = 72 × 7/5 × 7 = 504/35
Likewise, for the 2nd fraction, since 35 × 1 = 35,
1/35 = 1 × 1/35 × 1 = 1/35
Add the two like fractions:
504/35 + 1/35 = 504 + 1/35 = 505/35
505/35 simplified gives 101/7
So, 72/5 + 1/35 = 101/7
In mixed form: 143/7

MathStep (Works offline)

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