Add 35/75 and 30/42
35/75 + 30/42 is 124/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
35/75 = 35 × 14/75 × 14 = 490/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
30/42 = 30 × 25/42 × 25 = 750/1050 - Add the two like fractions:
490/1050 + 750/1050 = 490 + 750/1050 = 1240/1050 - 1240/1050 simplified gives 124/105
- So, 35/75 + 30/42 = 124/105
In mixed form: 119/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/75+30/42 35/75+60/42 35/75+30/84 35/75+90/42