Add 45/40 and 30/32
1st number: 1 5/40, 2nd number: 30/32
45/40 + 30/32 is 33/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 32 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 40 × 4 = 160,
45/40 = 45 × 4/40 × 4 = 180/160 - Likewise, for the 2nd fraction, since 32 × 5 = 160,
30/32 = 30 × 5/32 × 5 = 150/160 - Add the two like fractions:
180/160 + 150/160 = 180 + 150/160 = 330/160 - 330/160 simplified gives 33/16
- So, 45/40 + 30/32 = 33/16
In mixed form: 21/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/40+30/32 45/40+60/32 45/80+30/32 45/40+30/64 45/40+90/32 45/40+30/96