Add 42/9 and 20/84, Solve 4 6/9 + 20/84 as a fraction

Add 42/9 and 20/84

1^st number: 4 6/9, 2^nd number: 20/84

42/9 + 20/84 is 103/21.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 9 × 28 = 252,
42/9 = 42 × 28/9 × 28 = 1176/252
Likewise, for the 2nd fraction, since 84 × 3 = 252,
20/84 = 20 × 3/84 × 3 = 60/252
Add the two like fractions:
1176/252 + 60/252 = 1176 + 60/252 = 1236/252
1236/252 simplified gives 103/21
So, 42/9 + 20/84 = 103/21
In mixed form: 419/21

MathStep (Works offline)

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