Add 10/75 and 16/42
10/75 + 16/42 is 18/35.
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,
10/75 = 10 × 14/75 × 14 = 140/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
16/42 = 16 × 25/42 × 25 = 400/1050 - Add the two like fractions:
140/1050 + 400/1050 = 140 + 400/1050 = 540/1050 - 540/1050 simplified gives 18/35
- So, 10/75 + 16/42 = 18/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/75+16/42 10/75+32/42 10/75+16/84 30/75+16/42 10/75+48/42 50/75+16/42 10/75+80/42 70/75+16/42