Add 30/75 and 14/84
30/75 + 14/84 is 17/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
30/75 = 30 × 28/75 × 28 = 840/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
14/84 = 14 × 25/84 × 25 = 350/2100 - Add the two like fractions:
840/2100 + 350/2100 = 840 + 350/2100 = 1190/2100 - 1190/2100 simplified gives 17/30
- So, 30/75 + 14/84 = 17/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/75+14/84 30/75+28/84 90/75+14/84 30/75+42/84 30/75+70/84 30/75+98/84