Add 7/5 and 7/42, Solve 1 2/5 + 7/42 as a fraction

Add 7/5 and 7/42

1^st number: 1 2/5, 2^nd number: 7/42

7/5 + 7/42 is 47/30.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 5 × 42 = 210,
7/5 = 7 × 42/5 × 42 = 294/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
7/42 = 7 × 5/42 × 5 = 35/210
Add the two like fractions:
294/210 + 35/210 = 294 + 35/210 = 329/210
329/210 simplified gives 47/30
So, 7/5 + 7/42 = 47/30
In mixed form: 117/30

MathStep (Works offline)

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