Add 40/21 and 42/9
1st number: 1 19/21, 2nd number: 4 6/9
40/21 + 42/9 is 46/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 21 × 3 = 63,
40/21 = 40 × 3/21 × 3 = 120/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
42/9 = 42 × 7/9 × 7 = 294/63 - Add the two like fractions:
120/63 + 294/63 = 120 + 294/63 = 414/63 - 414/63 simplified gives 46/7
- So, 40/21 + 42/9 = 46/7
In mixed form: 64/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/21+42/9 40/21+84/9 40/42+42/9 40/21+42/18 40/63+42/9 40/21+42/27 40/21+42/45 40/21+42/63