Add 36/75 and 54/70
36/75 + 54/70 is 219/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 70 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
36/75 = 36 × 14/75 × 14 = 504/1050 - Likewise, for the 2nd fraction, since 70 × 15 = 1050,
54/70 = 54 × 15/70 × 15 = 810/1050 - Add the two like fractions:
504/1050 + 810/1050 = 504 + 810/1050 = 1314/1050 - 1314/1050 simplified gives 219/175
- So, 36/75 + 54/70 = 219/175
In mixed form: 144/175
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/75+54/70