Add 75/84 and 42/5
1st number: 75/84, 2nd number: 8 2/5
75/84 + 42/5 is 1301/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 5 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Likewise, for the 2nd fraction, since 5 × 84 = 420,
42/5 = 42 × 84/5 × 84 = 3528/420 - Add the two like fractions:
375/420 + 3528/420 = 375 + 3528/420 = 3903/420 - 3903/420 simplified gives 1301/140
- So, 75/84 + 42/5 = 1301/140
In mixed form: 941/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/84+84/5 75/84+42/10 75/84+42/15 75/84+42/25 75/84+42/35