Add 9/40 and 30/28, Solve 9/40 + 1 2/28 as a fraction

Add 9/40 and 30/28

1^st number: 9/40, 2^nd number: 1 2/28

9/40 + 30/28 is 363/280.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 28 is 280

Next, find the equivalent fraction of both fractional numbers with denominator 280
For the 1st fraction, since 40 × 7 = 280,
9/40 = 9 × 7/40 × 7 = 63/280
Likewise, for the 2nd fraction, since 28 × 10 = 280,
30/28 = 30 × 10/28 × 10 = 300/280
Add the two like fractions:
63/280 + 300/280 = 63 + 300/280 = 363/280
So, 9/40 + 30/28 = 363/280
In mixed form: 183/280

MathStep (Works offline)

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