Add 90/42 and 10/45, Solve 2 6/42 + 10/45 as a fraction

Add 90/42 and 10/45

1^st number: 2 6/42, 2^nd number: 10/45

90/42 + 10/45 is 149/63.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 42 × 15 = 630,
90/42 = 90 × 15/42 × 15 = 1350/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
10/45 = 10 × 14/45 × 14 = 140/630
Add the two like fractions:
1350/630 + 140/630 = 1350 + 140/630 = 1490/630
1490/630 simplified gives 149/63
So, 90/42 + 10/45 = 149/63
In mixed form: 223/63

MathStep (Works offline)

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