Add 40/21 and 6/45
1st number: 1 19/21, 2nd number: 6/45
40/21 + 6/45 is 214/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
40/21 = 40 × 15/21 × 15 = 600/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
6/45 = 6 × 7/45 × 7 = 42/315 - Add the two like fractions:
600/315 + 42/315 = 600 + 42/315 = 642/315 - 642/315 simplified gives 214/105
- So, 40/21 + 6/45 = 214/105
In mixed form: 24/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/21+6/45 40/21+12/45 40/42+6/45 40/21+6/90 40/21+18/45 40/63+6/45 40/21+30/45 40/21+42/45