Add 40/49 and 28/18, Solve 40/49 + 1 10/18 as a fraction

Add 40/49 and 28/18

1^st number: 40/49, 2^nd number: 1 10/18

40/49 + 28/18 is 1046/441.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 18 is 882

Next, find the equivalent fraction of both fractional numbers with denominator 882
For the 1st fraction, since 49 × 18 = 882,
40/49 = 40 × 18/49 × 18 = 720/882
Likewise, for the 2nd fraction, since 18 × 49 = 882,
28/18 = 28 × 49/18 × 49 = 1372/882
Add the two like fractions:
720/882 + 1372/882 = 720 + 1372/882 = 2092/882
2092/882 simplified gives 1046/441
So, 40/49 + 28/18 = 1046/441
In mixed form: 2164/441

MathStep (Works offline)

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