Add 30/49 and 96/70, Solve 30/49 + 1 26/70 as a fraction

Add 30/49 and 96/70

1^st number: 30/49, 2^nd number: 1 26/70

30/49 + 96/70 is 486/245.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 70 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 49 × 10 = 490,
30/49 = 30 × 10/49 × 10 = 300/490
Likewise, for the 2nd fraction, since 70 × 7 = 490,
96/70 = 96 × 7/70 × 7 = 672/490
Add the two like fractions:
300/490 + 672/490 = 300 + 672/490 = 972/490
972/490 simplified gives 486/245
So, 30/49 + 96/70 = 486/245
In mixed form: 1241/245

MathStep (Works offline)

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