Add 56/5 and 20/42, Solve 11 1/5 + 20/42 as a fraction

Add 56/5 and 20/42

1^st number: 11 1/5, 2^nd number: 20/42

56/5 + 20/42 is 1226/105.

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,
56/5 = 56 × 42/5 × 42 = 2352/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
20/42 = 20 × 5/42 × 5 = 100/210
Add the two like fractions:
2352/210 + 100/210 = 2352 + 100/210 = 2452/210
2452/210 simplified gives 1226/105
So, 56/5 + 20/42 = 1226/105
In mixed form: 1171/105

MathStep (Works offline)

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