Add 45/14 and 40/24
1st number: 3 3/14, 2nd number: 1 16/24
45/14 + 40/24 is 205/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 14 × 12 = 168,
45/14 = 45 × 12/14 × 12 = 540/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
40/24 = 40 × 7/24 × 7 = 280/168 - Add the two like fractions:
540/168 + 280/168 = 540 + 280/168 = 820/168 - 820/168 simplified gives 205/42
- So, 45/14 + 40/24 = 205/42
In mixed form: 437/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/14+40/24 45/14+80/24 45/28+40/24 45/14+40/48 45/42+40/24 45/14+40/72 45/70+40/24 45/98+40/24