Add 20/42 and 84/10, Solve 20/42 + 8 4/10 as a fraction

Add 20/42 and 84/10

1^st number: 20/42, 2^nd number: 8 4/10

20/42 + 84/10 is 932/105.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 10 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 42 × 5 = 210,
20/42 = 20 × 5/42 × 5 = 100/210
Likewise, for the 2nd fraction, since 10 × 21 = 210,
84/10 = 84 × 21/10 × 21 = 1764/210
Add the two like fractions:
100/210 + 1764/210 = 100 + 1764/210 = 1864/210
1864/210 simplified gives 932/105
So, 20/42 + 84/10 = 932/105
In mixed form: 892/105

MathStep (Works offline)

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