Add 36/42 and 21/54
36/42 + 21/54 is 157/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
36/42 = 36 × 9/42 × 9 = 324/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
21/54 = 21 × 7/54 × 7 = 147/378 - Add the two like fractions:
324/378 + 147/378 = 324 + 147/378 = 471/378 - 471/378 simplified gives 157/126
- So, 36/42 + 21/54 = 157/126
In mixed form: 131/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/42+21/54 36/42+42/54 36/84+21/54 36/42+63/54