Add 21/4 and 40/75
1st number: 5 1/4, 2nd number: 40/75
21/4 + 40/75 is 347/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 4 × 75 = 300,
21/4 = 21 × 75/4 × 75 = 1575/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300 - Add the two like fractions:
1575/300 + 160/300 = 1575 + 160/300 = 1735/300 - 1735/300 simplified gives 347/60
- So, 21/4 + 40/75 = 347/60
In mixed form: 547/60
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/4+40/75 21/4+80/75 21/8+40/75 63/4+40/75 21/12+40/75 21/20+40/75 21/28+40/75