Add 40/84 and 70/75
40/84 + 70/75 is 148/105.
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,
40/84 = 40 × 25/84 × 25 = 1000/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
70/75 = 70 × 28/75 × 28 = 1960/2100 - Add the two like fractions:
1000/2100 + 1960/2100 = 1000 + 1960/2100 = 2960/2100 - 2960/2100 simplified gives 148/105
- So, 40/84 + 70/75 = 148/105
In mixed form: 143/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/84+70/75