Answers

Add 75/45 and 21/49

1^st number: 1 30/45, 2^nd number: 21/49

75/45 + 21/49 is 44/21.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 45 and 49 is 2205
   
   Next, find the equivalent fraction of both fractional numbers with denominator 2205
2. For the 1st fraction, since 45 × 49 = 2205,
   75/45 = 75 × 49/45 × 49 = 3675/2205
3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
   21/49 = 21 × 45/49 × 45 = 945/2205
4. Add the two like fractions:
   3675/2205 + 945/2205 = 3675 + 945/2205 = 4620/2205
5. 4620/2205 simplified gives 44/21
6. So, 75/45 + 21/49 = 44/21
   In mixed form: 22/21

MathStep (Works offline)

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

Related: ⁷⁵/₄₅+⁴²/₄₉ ⁷⁵/₉₀+²¹/₄₉ ⁷⁵/₄₅+²¹/₉₈ ⁷⁵/₄₅+⁶³/₄₉

Add Fractions Calculator