Add 70/42 and 20/75
1st number: 1 28/42, 2nd number: 20/75
70/42 + 20/75 is 29/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
70/42 = 70 × 25/42 × 25 = 1750/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
20/75 = 20 × 14/75 × 14 = 280/1050 - Add the two like fractions:
1750/1050 + 280/1050 = 1750 + 280/1050 = 2030/1050 - 2030/1050 simplified gives 29/15
- So, 70/42 + 20/75 = 29/15
In mixed form: 114/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/42+40/75 70/84+20/75 70/42+60/75