Add 75/45 and 2/42, Solve 1 30/45 + 2/42 as a fraction

Add 75/45 and 2/42

1^st number: 1 30/45, 2^nd number: 2/42

75/45 + 2/42 is 12/7.

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

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 45 × 14 = 630,
75/45 = 75 × 14/45 × 14 = 1050/630
Likewise, for the 2nd fraction, since 42 × 15 = 630,
2/42 = 2 × 15/42 × 15 = 30/630
Add the two like fractions:
1050/630 + 30/630 = 1050 + 30/630 = 1080/630
1080/630 simplified gives 12/7
So, 75/45 + 2/42 = 12/7
In mixed form: 15/7

MathStep (Works offline)

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