Add 4/14 and 49/75
4/14 + 49/75 is 493/525.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 14 × 75 = 1050,
4/14 = 4 × 75/14 × 75 = 300/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
49/75 = 49 × 14/75 × 14 = 686/1050 - Add the two like fractions:
300/1050 + 686/1050 = 300 + 686/1050 = 986/1050 - 986/1050 simplified gives 493/525
- So, 4/14 + 49/75 = 493/525
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/14+49/75 4/14+98/75 4/28+49/75 12/14+49/75 4/42+49/75 20/14+49/75 4/70+49/75 28/14+49/75 4/98+49/75