Add 49/84 and 14/75
49/84 + 14/75 is 77/100.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
49/84 = 49 × 25/84 × 25 = 1225/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
14/75 = 14 × 28/75 × 28 = 392/2100 - Add the two like fractions:
1225/2100 + 392/2100 = 1225 + 392/2100 = 1617/2100 - 1617/2100 simplified gives 77/100
- So, 49/84 + 14/75 = 77/100
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/84+14/75 49/84+28/75 49/84+42/75 49/84+70/75 49/84+98/75