Add 49/42 and 21/9, Solve 1 7/42 + 2 3/9 as a fraction

Add 49/42 and 21/9

1^st number: 1 7/42, 2^nd number: 2 3/9

49/42 + 21/9 is 7/2.

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

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 42 × 3 = 126,
49/42 = 49 × 3/42 × 3 = 147/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
21/9 = 21 × 14/9 × 14 = 294/126
Add the two like fractions:
147/126 + 294/126 = 147 + 294/126 = 441/126
441/126 simplified gives 7/2
So, 49/42 + 21/9 = 7/2
In mixed form: 31/2

MathStep (Works offline)

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