Add 40/9 and 4/25, Solve 4 4/9 + 4/25 as a fraction

Add 40/9 and 4/25

1^st number: 4 4/9, 2^nd number: 4/25

40/9 + 4/25 is 1036/225.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 25 is 225

Next, find the equivalent fraction of both fractional numbers with denominator 225
For the 1st fraction, since 9 × 25 = 225,
40/9 = 40 × 25/9 × 25 = 1000/225
Likewise, for the 2nd fraction, since 25 × 9 = 225,
4/25 = 4 × 9/25 × 9 = 36/225
Add the two like fractions:
1000/225 + 36/225 = 1000 + 36/225 = 1036/225
So, 40/9 + 4/25 = 1036/225
In mixed form: 4136/225

MathStep (Works offline)

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