Add 3/7 and 84/40, Solve 3/7 + 2 4/40 as a fraction

Add 3/7 and 84/40

1^st number: 3/7, 2^nd number: 2 4/40

3/7 + 84/40 is 177/70.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280

Next, find the equivalent fraction of both fractional numbers with denominator 280
For the 1st fraction, since 7 × 40 = 280,
3/7 = 3 × 40/7 × 40 = 120/280
Likewise, for the 2nd fraction, since 40 × 7 = 280,
84/40 = 84 × 7/40 × 7 = 588/280
Add the two like fractions:
120/280 + 588/280 = 120 + 588/280 = 708/280
708/280 simplified gives 177/70
So, 3/7 + 84/40 = 177/70
In mixed form: 237/70

MathStep (Works offline)

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