Add 40/45 and 30/32
40/45 + 30/32 is 263/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 32 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 45 × 32 = 1440,
40/45 = 40 × 32/45 × 32 = 1280/1440 - Likewise, for the 2nd fraction, since 32 × 45 = 1440,
30/32 = 30 × 45/32 × 45 = 1350/1440 - Add the two like fractions:
1280/1440 + 1350/1440 = 1280 + 1350/1440 = 2630/1440 - 2630/1440 simplified gives 263/144
- So, 40/45 + 30/32 = 263/144
In mixed form: 1119/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/45+30/32 40/45+60/32 40/90+30/32 40/45+30/64 40/45+90/32 40/45+30/96