Add 27/84 and 70/75
27/84 + 70/75 is 527/420.
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,
27/84 = 27 × 25/84 × 25 = 675/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
70/75 = 70 × 28/75 × 28 = 1960/2100 - Add the two like fractions:
675/2100 + 1960/2100 = 675 + 1960/2100 = 2635/2100 - 2635/2100 simplified gives 527/420
- So, 27/84 + 70/75 = 527/420
In mixed form: 1107/420
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/84+70/75 81/84+70/75