Add 35/14 and 16/45, Solve 2 7/14 + 16/45 as a fraction

Add 35/14 and 16/45

1^st number: 2 7/14, 2^nd number: 16/45

35/14 + 16/45 is 257/90.

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,
35/14 = 35 × 45/14 × 45 = 1575/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
16/45 = 16 × 14/45 × 14 = 224/630
Add the two like fractions:
1575/630 + 224/630 = 1575 + 224/630 = 1799/630
1799/630 simplified gives 257/90
So, 35/14 + 16/45 = 257/90
In mixed form: 277/90

MathStep (Works offline)

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