Add 56/9 and 18/42, Solve 6 2/9 + 18/42 as a fraction

Add 56/9 and 18/42

1^st number: 6 2/9, 2^nd number: 18/42

56/9 + 18/42 is 419/63.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 9 × 14 = 126,
56/9 = 56 × 14/9 × 14 = 784/126
Likewise, for the 2nd fraction, since 42 × 3 = 126,
18/42 = 18 × 3/42 × 3 = 54/126
Add the two like fractions:
784/126 + 54/126 = 784 + 54/126 = 838/126
838/126 simplified gives 419/63
So, 56/9 + 18/42 = 419/63
In mixed form: 641/63

MathStep (Works offline)

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