Add 40/35 and 21/7, Solve 1 5/35 + 3 0/7 as a fraction

Add 40/35 and 21/7

1^st number: 1 5/35, 2^nd number: 3 0/7

40/35 + 21/7 is 29/7.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 7 is 35

Next, find the equivalent fraction of both fractional numbers with denominator 35
For the 1st fraction, since 35 × 1 = 35,
40/35 = 40 × 1/35 × 1 = 40/35
Likewise, for the 2nd fraction, since 7 × 5 = 35,
21/7 = 21 × 5/7 × 5 = 105/35
Add the two like fractions:
40/35 + 105/35 = 40 + 105/35 = 145/35
145/35 simplified gives 29/7
So, 40/35 + 21/7 = 29/7
In mixed form: 41/7

MathStep (Works offline)

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