Add 40/45 and 45/4, Solve 40/45 + 11 1/4 as a fraction

Add 40/45 and 45/4

1^st number: 40/45, 2^nd number: 11 1/4

40/45 + 45/4 is 437/36.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 4 is 180

Next, find the equivalent fraction of both fractional numbers with denominator 180
For the 1st fraction, since 45 × 4 = 180,
40/45 = 40 × 4/45 × 4 = 160/180
Likewise, for the 2nd fraction, since 4 × 45 = 180,
45/4 = 45 × 45/4 × 45 = 2025/180
Add the two like fractions:
160/180 + 2025/180 = 160 + 2025/180 = 2185/180
2185/180 simplified gives 437/36
So, 40/45 + 45/4 = 437/36
In mixed form: 125/36

MathStep (Works offline)

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