Answers

Add 75/40 and 40/42

1^st number: 1 35/40, 2^nd number: 40/42

75/40 + 40/42 is 475/168.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 40 and 42 is 840
   
   Next, find the equivalent fraction of both fractional numbers with denominator 840
2. For the 1st fraction, since 40 × 21 = 840,
   75/40 = 75 × 21/40 × 21 = 1575/840
3. Likewise, for the 2nd fraction, since 42 × 20 = 840,
   40/42 = 40 × 20/42 × 20 = 800/840
4. Add the two like fractions:
   1575/840 + 800/840 = 1575 + 800/840 = 2375/840
5. 2375/840 simplified gives 475/168
6. So, 75/40 + 40/42 = 475/168
   In mixed form: 2139/168

MathStep (Works offline)

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

Related: ⁷⁵/₄₀+⁸⁰/₄₂ ⁷⁵/₈₀+⁴⁰/₄₂ ⁷⁵/₄₀+⁴⁰/₈₄

Add Fractions Calculator