Add 30/54 and 10/75
30/54 + 10/75 is 31/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 75 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 54 × 25 = 1350,
30/54 = 30 × 25/54 × 25 = 750/1350 - Likewise, for the 2nd fraction, since 75 × 18 = 1350,
10/75 = 10 × 18/75 × 18 = 180/1350 - Add the two like fractions:
750/1350 + 180/1350 = 750 + 180/1350 = 930/1350 - 930/1350 simplified gives 31/45
- So, 30/54 + 10/75 = 31/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/54+10/75 30/54+20/75 90/54+10/75 30/54+30/75 30/54+50/75 30/54+70/75