Add 36/40 and 14/54
36/40 + 14/54 is 313/270.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 54 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
36/40 = 36 × 27/40 × 27 = 972/1080 - Likewise, for the 2nd fraction, since 54 × 20 = 1080,
14/54 = 14 × 20/54 × 20 = 280/1080 - Add the two like fractions:
972/1080 + 280/1080 = 972 + 280/1080 = 1252/1080 - 1252/1080 simplified gives 313/270
- So, 36/40 + 14/54 = 313/270
In mixed form: 143/270
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/40+14/54 36/40+28/54 36/80+14/54 36/40+42/54 36/40+70/54 36/40+98/54