Add 28/5 and 42/35, Solve 5 3/5 + 1 7/35 as a fraction

Add 28/5 and 42/35

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

28/5 + 42/35 is 34/5.

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,
28/5 = 28 × 7/5 × 7 = 196/35
Likewise, for the 2nd fraction, since 35 × 1 = 35,
42/35 = 42 × 1/35 × 1 = 42/35
Add the two like fractions:
196/35 + 42/35 = 196 + 42/35 = 238/35
238/35 simplified gives 34/5
So, 28/5 + 42/35 = 34/5
In mixed form: 64/5

MathStep (Works offline)

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