Answers

Add 30/20 and 75/40

1^st number: 1 10/20, 2^nd number: 1 35/40

30/20 + 75/40 is 27/8.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 20 and 40 is 40
   
   Next, find the equivalent fraction of both fractional numbers with denominator 40
2. For the 1st fraction, since 20 × 2 = 40,
   30/20 = 30 × 2/20 × 2 = 60/40
3. Likewise, for the 2nd fraction, since 40 × 1 = 40,
   75/40 = 75 × 1/40 × 1 = 75/40
4. Add the two like fractions:
   60/40 + 75/40 = 60 + 75/40 = 135/40
5. 135/40 simplified gives 27/8
6. So, 30/20 + 75/40 = 27/8
   In mixed form: 33/8

MathStep (Works offline)

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

Related: ⁶⁰/₂₀+⁷⁵/₄₀ ³⁰/₄₀+⁷⁵/₄₀ ³⁰/₂₀+⁷⁵/₈₀ ⁹⁰/₂₀+⁷⁵/₄₀ ³⁰/₆₀+⁷⁵/₄₀

Add Fractions Calculator