Add 10/25 and 75/49, Solve 10/25 + 1 26/49 as a fraction

Add 10/25 and 75/49

1^st number: 10/25, 2^nd number: 1 26/49

10/25 + 75/49 is 473/245.

Find the least common denominator or LCM of the two denominators:
LCM of 25 and 49 is 1225

Next, find the equivalent fraction of both fractional numbers with denominator 1225
For the 1st fraction, since 25 × 49 = 1225,
10/25 = 10 × 49/25 × 49 = 490/1225
Likewise, for the 2nd fraction, since 49 × 25 = 1225,
75/49 = 75 × 25/49 × 25 = 1875/1225
Add the two like fractions:
490/1225 + 1875/1225 = 490 + 1875/1225 = 2365/1225
2365/1225 simplified gives 473/245
So, 10/25 + 75/49 = 473/245
In mixed form: 1228/245

MathStep (Works offline)

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