Add 40/15 and 5/21
1st number: 2 10/15, 2nd number: 5/21
40/15 + 5/21 is 61/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
40/15 = 40 × 7/15 × 7 = 280/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
5/21 = 5 × 5/21 × 5 = 25/105 - Add the two like fractions:
280/105 + 25/105 = 280 + 25/105 = 305/105 - 305/105 simplified gives 61/21
- So, 40/15 + 5/21 = 61/21
In mixed form: 219/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/15+5/21 40/15+10/21 40/30+5/21 40/15+5/42 40/15+15/21 40/45+5/21 40/15+5/63 40/15+25/21 40/75+5/21 40/15+35/21