Add 75/14 and 18/40
1st number: 5 5/14, 2nd number: 18/40
75/14 + 18/40 is 813/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
75/14 = 75 × 20/14 × 20 = 1500/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
18/40 = 18 × 7/40 × 7 = 126/280 - Add the two like fractions:
1500/280 + 126/280 = 1500 + 126/280 = 1626/280 - 1626/280 simplified gives 813/140
- So, 75/14 + 18/40 = 813/140
In mixed form: 5113/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/14+36/40 75/28+18/40 75/14+18/80 75/14+54/40 75/42+18/40 75/14+90/40 75/70+18/40 75/98+18/40