Add 40/70 and 40/75
40/70 + 40/75 is 116/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 70 × 15 = 1050,
40/70 = 40 × 15/70 × 15 = 600/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
40/75 = 40 × 14/75 × 14 = 560/1050 - Add the two like fractions:
600/1050 + 560/1050 = 600 + 560/1050 = 1160/1050 - 1160/1050 simplified gives 116/105
- So, 40/70 + 40/75 = 116/105
In mixed form: 111/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/70+40/75 40/70+80/75