Add 45/4 and 49/14
1st number: 11 1/4, 2nd number: 3 7/14
45/4 + 49/14 is 59/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 14 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
45/4 = 45 × 7/4 × 7 = 315/28 - Likewise, for the 2nd fraction, since 14 × 2 = 28,
49/14 = 49 × 2/14 × 2 = 98/28 - Add the two like fractions:
315/28 + 98/28 = 315 + 98/28 = 413/28 - 413/28 simplified gives 59/4
- So, 45/4 + 49/14 = 59/4
In mixed form: 143/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/4+49/14 45/4+98/14 45/8+49/14 45/4+49/28 45/12+49/14 45/4+49/42 45/20+49/14 45/4+49/70 45/28+49/14 45/4+49/98