Add 49/42 and 9/90, Solve 1 7/42 + 9/90 as a fraction

Add 49/42 and 9/90

1^st number: 1 7/42, 2^nd number: 9/90

49/42 + 9/90 is 19/15.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 90 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 42 × 15 = 630,
49/42 = 49 × 15/42 × 15 = 735/630
Likewise, for the 2nd fraction, since 90 × 7 = 630,
9/90 = 9 × 7/90 × 7 = 63/630
Add the two like fractions:
735/630 + 63/630 = 735 + 63/630 = 798/630
798/630 simplified gives 19/15
So, 49/42 + 9/90 = 19/15
In mixed form: 14/15

MathStep (Works offline)

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