Add 54/42 and 21/45
1st number: 1 12/42, 2nd number: 21/45
54/42 + 21/45 is 184/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
54/42 = 54 × 15/42 × 15 = 810/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
21/45 = 21 × 14/45 × 14 = 294/630 - Add the two like fractions:
810/630 + 294/630 = 810 + 294/630 = 1104/630 - 1104/630 simplified gives 184/105
- So, 54/42 + 21/45 = 184/105
In mixed form: 179/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/42+42/45 54/84+21/45 54/42+21/90 54/42+63/45