Add 9/5 and 10/42, Solve 1 4/5 + 10/42 as a fraction

Add 9/5 and 10/42

1^st number: 1 4/5, 2^nd number: 10/42

9/5 + 10/42 is 214/105.

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,
9/5 = 9 × 42/5 × 42 = 378/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
10/42 = 10 × 5/42 × 5 = 50/210
Add the two like fractions:
378/210 + 50/210 = 378 + 50/210 = 428/210
428/210 simplified gives 214/105
So, 9/5 + 10/42 = 214/105
In mixed form: 24/105

MathStep (Works offline)

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