Add 21/2 and 40/84
1st number: 10 1/2, 2nd number: 40/84
21/2 + 40/84 is 461/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 2 × 42 = 84,
21/2 = 21 × 42/2 × 42 = 882/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
40/84 = 40 × 1/84 × 1 = 40/84 - Add the two like fractions:
882/84 + 40/84 = 882 + 40/84 = 922/84 - 922/84 simplified gives 461/42
- So, 21/2 + 40/84 = 461/42
In mixed form: 1041/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/2+40/84 21/2+80/84 21/4+40/84 63/2+40/84 21/6+40/84 21/10+40/84 21/14+40/84