Add 40/70 and 10/75
40/70 + 10/75 is 74/105.
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,
10/75 = 10 × 14/75 × 14 = 140/1050 - Add the two like fractions:
600/1050 + 140/1050 = 600 + 140/1050 = 740/1050 - 740/1050 simplified gives 74/105
- So, 40/70 + 10/75 = 74/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/70+10/75 40/70+20/75 40/70+30/75 40/70+50/75 40/70+70/75