Add 70/84 and 84/75
1st number: 70/84, 2nd number: 1 9/75
70/84 + 84/75 is 293/150.
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,
70/84 = 70 × 25/84 × 25 = 1750/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
84/75 = 84 × 28/75 × 28 = 2352/2100 - Add the two like fractions:
1750/2100 + 2352/2100 = 1750 + 2352/2100 = 4102/2100 - 4102/2100 simplified gives 293/150
- So, 70/84 + 84/75 = 293/150
In mixed form: 1143/150
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: