Answers

Add 75/21 and 54/40

1^st number: 3 12/21, 2^nd number: 1 14/40

75/21 + 54/40 is 689/140.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 21 and 40 is 840
   
   Next, find the equivalent fraction of both fractional numbers with denominator 840
2. For the 1st fraction, since 21 × 40 = 840,
   75/21 = 75 × 40/21 × 40 = 3000/840
3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
   54/40 = 54 × 21/40 × 21 = 1134/840
4. Add the two like fractions:
   3000/840 + 1134/840 = 3000 + 1134/840 = 4134/840
5. 4134/840 simplified gives 689/140
6. So, 75/21 + 54/40 = 689/140
   In mixed form: 4129/140

MathStep (Works offline)

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

Related: ⁷⁵/₄₂+⁵⁴/₄₀ ⁷⁵/₂₁+⁵⁴/₈₀ ⁷⁵/₆₃+⁵⁴/₄₀

Add Fractions Calculator