Add 36/42 and 48/54
36/42 + 48/54 is 110/63.
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,
48/54 = 48 × 7/54 × 7 = 336/378 - Add the two like fractions:
324/378 + 336/378 = 324 + 336/378 = 660/378 - 660/378 simplified gives 110/63
- So, 36/42 + 48/54 = 110/63
In mixed form: 147/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/42+48/54 36/42+96/54 36/84+48/54