Add 42/75 and 9/4
1st number: 42/75, 2nd number: 2 1/4
42/75 + 9/4 is 281/100.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 4 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
42/75 = 42 × 4/75 × 4 = 168/300 - Likewise, for the 2nd fraction, since 4 × 75 = 300,
9/4 = 9 × 75/4 × 75 = 675/300 - Add the two like fractions:
168/300 + 675/300 = 168 + 675/300 = 843/300 - 843/300 simplified gives 281/100
- So, 42/75 + 9/4 = 281/100
In mixed form: 281/100
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/75+9/4 42/75+18/4 42/75+9/8 42/75+27/4 42/75+9/12 42/75+45/4 42/75+9/20 42/75+63/4 42/75+9/28