Answers

Add 21/45 and 75/30

1^st number: 21/45, 2^nd number: 2 15/30

21/45 + 75/30 is 89/30.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 45 and 30 is 90
   
   Next, find the equivalent fraction of both fractional numbers with denominator 90
2. For the 1st fraction, since 45 × 2 = 90,
   21/45 = 21 × 2/45 × 2 = 42/90
3. Likewise, for the 2nd fraction, since 30 × 3 = 90,
   75/30 = 75 × 3/30 × 3 = 225/90
4. Add the two like fractions:
   42/90 + 225/90 = 42 + 225/90 = 267/90
5. 267/90 simplified gives 89/30
6. So, 21/45 + 75/30 = 89/30
   In mixed form: 229/30

MathStep (Works offline)

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

Related: ⁴²/₄₅+⁷⁵/₃₀ ²¹/₉₀+⁷⁵/₃₀ ²¹/₄₅+⁷⁵/₆₀ ⁶³/₄₅+⁷⁵/₃₀ ²¹/₄₅+⁷⁵/₉₀

Add Fractions Calculator