Add 10/75 and 25/16, Solve 10/75 + 1 9/16 as a fraction

Add 10/75 and 25/16

1^st number: 10/75, 2^nd number: 1 9/16

10/75 + 25/16 is 407/240.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200

Next, find the equivalent fraction of both fractional numbers with denominator 1200
For the 1st fraction, since 75 × 16 = 1200,
10/75 = 10 × 16/75 × 16 = 160/1200
Likewise, for the 2nd fraction, since 16 × 75 = 1200,
25/16 = 25 × 75/16 × 75 = 1875/1200
Add the two like fractions:
160/1200 + 1875/1200 = 160 + 1875/1200 = 2035/1200
2035/1200 simplified gives 407/240
So, 10/75 + 25/16 = 407/240
In mixed form: 1167/240

MathStep (Works offline)

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