Add 40/5 and 49/21
1st number: 8 0/5, 2nd number: 2 7/21
40/5 + 49/21 is 31/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 5 × 21 = 105,
40/5 = 40 × 21/5 × 21 = 840/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
49/21 = 49 × 5/21 × 5 = 245/105 - Add the two like fractions:
840/105 + 245/105 = 840 + 245/105 = 1085/105 - 1085/105 simplified gives 31/3
- So, 40/5 + 49/21 = 31/3
In mixed form: 101/3
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/5+49/21 40/5+98/21 40/10+49/21 40/5+49/42 40/15+49/21 40/5+49/63 40/25+49/21 40/35+49/21