Add 45/21 and 75/54
1st number: 2 3/21, 2nd number: 1 21/54
45/21 + 75/54 is 445/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 21 × 18 = 378,
45/21 = 45 × 18/21 × 18 = 810/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
75/54 = 75 × 7/54 × 7 = 525/378 - Add the two like fractions:
810/378 + 525/378 = 810 + 525/378 = 1335/378 - 1335/378 simplified gives 445/126
- So, 45/21 + 75/54 = 445/126
In mixed form: 367/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/21+75/54 45/42+75/54 45/63+75/54