Add 45/4 and 40/21
1st number: 11 1/4, 2nd number: 1 19/21
45/4 + 40/21 is 1105/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
45/4 = 45 × 21/4 × 21 = 945/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
40/21 = 40 × 4/21 × 4 = 160/84 - Add the two like fractions:
945/84 + 160/84 = 945 + 160/84 = 1105/84 - So, 45/4 + 40/21 = 1105/84
In mixed form: 1313/84
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/4+40/21 45/4+80/21 45/8+40/21 45/4+40/42 45/12+40/21 45/4+40/63 45/20+40/21 45/28+40/21