Add 45/84 and 10/75
45/84 + 10/75 is 281/420.
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,
45/84 = 45 × 25/84 × 25 = 1125/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
10/75 = 10 × 28/75 × 28 = 280/2100 - Add the two like fractions:
1125/2100 + 280/2100 = 1125 + 280/2100 = 1405/2100 - 1405/2100 simplified gives 281/420
- So, 45/84 + 10/75 = 281/420
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/84+10/75 45/84+20/75 45/84+30/75 45/84+50/75 45/84+70/75