Add 40/20 and 30/32
1st number: 2 0/20, 2nd number: 30/32
40/20 + 30/32 is 47/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 32 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 20 × 8 = 160,
40/20 = 40 × 8/20 × 8 = 320/160 - Likewise, for the 2nd fraction, since 32 × 5 = 160,
30/32 = 30 × 5/32 × 5 = 150/160 - Add the two like fractions:
320/160 + 150/160 = 320 + 150/160 = 470/160 - 470/160 simplified gives 47/16
- So, 40/20 + 30/32 = 47/16
In mixed form: 215/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/20+30/32 40/20+60/32 40/20+30/64 40/20+90/32 40/60+30/32 40/20+30/96