Add 90/14 and 7/45, Solve 6 6/14 + 7/45 as a fraction

Add 90/14 and 7/45

1^st number: 6 6/14, 2^nd number: 7/45

90/14 + 7/45 is 2074/315.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 45 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 14 × 45 = 630,
90/14 = 90 × 45/14 × 45 = 4050/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
7/45 = 7 × 14/45 × 14 = 98/630
Add the two like fractions:
4050/630 + 98/630 = 4050 + 98/630 = 4148/630
4148/630 simplified gives 2074/315
So, 90/14 + 7/45 = 2074/315
In mixed form: 6184/315

MathStep (Works offline)

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