Answers

Add 42/75 and 75/90

42/75 + 75/90 is 209/150.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 90 is 450
   
   Next, find the equivalent fraction of both fractional numbers with denominator 450
2. For the 1st fraction, since 75 × 6 = 450,
   42/75 = 42 × 6/75 × 6 = 252/450
3. Likewise, for the 2nd fraction, since 90 × 5 = 450,
   75/90 = 75 × 5/90 × 5 = 375/450
4. Add the two like fractions:
   252/450 + 375/450 = 252 + 375/450 = 627/450
5. 627/450 simplified gives 209/150
6. So, 42/75 + 75/90 = 209/150
   In mixed form: 159/150

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad

Related: ⁸⁴/₇₅+⁷⁵/₉₀

Add Fractions Calculator