Add 36/54 and 18/42
36/54 + 18/42 is 23/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
36/54 = 36 × 7/54 × 7 = 252/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
18/42 = 18 × 9/42 × 9 = 162/378 - Add the two like fractions:
252/378 + 162/378 = 252 + 162/378 = 414/378 - 414/378 simplified gives 23/21
- So, 36/54 + 18/42 = 23/21
In mixed form: 12/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/54+18/42 36/54+36/42 36/54+18/84 36/54+54/42 36/54+90/42