Add 10/14 and 45/40
1st number: 10/14, 2nd number: 1 5/40
10/14 + 45/40 is 103/56.
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,
10/14 = 10 × 20/14 × 20 = 200/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
45/40 = 45 × 7/40 × 7 = 315/280 - Add the two like fractions:
200/280 + 315/280 = 200 + 315/280 = 515/280 - 515/280 simplified gives 103/56
- So, 10/14 + 45/40 = 103/56
In mixed form: 147/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/14+45/40 10/14+90/40 10/28+45/40 10/14+45/80 30/14+45/40 10/42+45/40 50/14+45/40 10/70+45/40 70/14+45/40 10/98+45/40