Add 25/49 and 40/18, Solve 25/49 + 2 4/18 as a fraction

Add 25/49 and 40/18

1^st number: 25/49, 2^nd number: 2 4/18

25/49 + 40/18 is 1205/441.

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,
25/49 = 25 × 18/49 × 18 = 450/882
Likewise, for the 2nd fraction, since 18 × 49 = 882,
40/18 = 40 × 49/18 × 49 = 1960/882
Add the two like fractions:
450/882 + 1960/882 = 450 + 1960/882 = 2410/882
2410/882 simplified gives 1205/441
So, 25/49 + 40/18 = 1205/441
In mixed form: 2323/441

MathStep (Works offline)

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