Add 35/98 and 40/50, Solve 35/98 + 40/50 as a fraction

Add 35/98 and 40/50

35/98 + 40/50 is 81/70.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 50 is 2450

Next, find the equivalent fraction of both fractional numbers with denominator 2450
For the 1st fraction, since 98 × 25 = 2450,
35/98 = 35 × 25/98 × 25 = 875/2450
Likewise, for the 2nd fraction, since 50 × 49 = 2450,
40/50 = 40 × 49/50 × 49 = 1960/2450
Add the two like fractions:
875/2450 + 1960/2450 = 875 + 1960/2450 = 2835/2450
2835/2450 simplified gives 81/70
So, 35/98 + 40/50 = 81/70
In mixed form: 111/70

MathStep (Works offline)

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