Add 15/32 and 40/45
15/32 + 40/45 is 391/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 45 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 32 × 45 = 1440,
15/32 = 15 × 45/32 × 45 = 675/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
40/45 = 40 × 32/45 × 32 = 1280/1440 - Add the two like fractions:
675/1440 + 1280/1440 = 675 + 1280/1440 = 1955/1440 - 1955/1440 simplified gives 391/288
- So, 15/32 + 40/45 = 391/288
In mixed form: 1103/288
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 30/32+40/45 15/32+80/45 15/64+40/45 15/32+40/90 45/32+40/45 15/96+40/45 75/32+40/45