Add 40/50 and 30/54
40/50 + 30/54 is 61/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 54 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 50 × 27 = 1350,
40/50 = 40 × 27/50 × 27 = 1080/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
30/54 = 30 × 25/54 × 25 = 750/1350 - Add the two like fractions:
1080/1350 + 750/1350 = 1080 + 750/1350 = 1830/1350 - 1830/1350 simplified gives 61/45
- So, 40/50 + 30/54 = 61/45
In mixed form: 116/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/50+30/54 40/50+60/54 40/50+90/54