Add 1/49 and 32/10, Solve 1/49 + 3 2/10 as a fraction

Add 1/49 and 32/10

1^st number: 1/49, 2^nd number: 3 2/10

1/49 + 32/10 is 789/245.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 10 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 49 × 10 = 490,
1/49 = 1 × 10/49 × 10 = 10/490
Likewise, for the 2nd fraction, since 10 × 49 = 490,
32/10 = 32 × 49/10 × 49 = 1568/490
Add the two like fractions:
10/490 + 1568/490 = 10 + 1568/490 = 1578/490
1578/490 simplified gives 789/245
So, 1/49 + 32/10 = 789/245
In mixed form: 354/245

MathStep (Works offline)

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