Add 84/75 and 75/42
1st number: 1 9/75, 2nd number: 1 33/42
84/75 + 75/42 is 1017/350.
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,
84/75 = 84 × 14/75 × 14 = 1176/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
75/42 = 75 × 25/42 × 25 = 1875/1050 - Add the two like fractions:
1176/1050 + 1875/1050 = 1176 + 1875/1050 = 3051/1050 - 3051/1050 simplified gives 1017/350
- So, 84/75 + 75/42 = 1017/350
In mixed form: 2317/350
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/75+75/84