Add 28/6 and 40/42, Solve 4 4/6 + 40/42 as a fraction

Add 28/6 and 40/42

1^st number: 4 4/6, 2^nd number: 40/42

28/6 + 40/42 is 118/21.

Find the least common denominator or LCM of the two denominators:
LCM of 6 and 42 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 6 × 7 = 42,
28/6 = 28 × 7/6 × 7 = 196/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
40/42 = 40 × 1/42 × 1 = 40/42
Add the two like fractions:
196/42 + 40/42 = 196 + 40/42 = 236/42
236/42 simplified gives 118/21
So, 28/6 + 40/42 = 118/21
In mixed form: 513/21

MathStep (Works offline)

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