Add 3/42 and 42/45
3/42 + 42/45 is 211/210.
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,
3/42 = 3 × 15/42 × 15 = 45/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
42/45 = 42 × 14/45 × 14 = 588/630 - Add the two like fractions:
45/630 + 588/630 = 45 + 588/630 = 633/630 - 633/630 simplified gives 211/210
- So, 3/42 + 42/45 = 211/210
In mixed form: 11/210
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/42+42/45 3/42+84/45 3/84+42/45 3/42+42/90 9/42+42/45 15/42+42/45 21/42+42/45