Answers

Add 75/54 and 42/32

1^st number: 1 21/54, 2^nd number: 1 10/32

75/54 + 42/32 is 389/144.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 54 and 32 is 864
   
   Next, find the equivalent fraction of both fractional numbers with denominator 864
2. For the 1st fraction, since 54 × 16 = 864,
   75/54 = 75 × 16/54 × 16 = 1200/864
3. Likewise, for the 2nd fraction, since 32 × 27 = 864,
   42/32 = 42 × 27/32 × 27 = 1134/864
4. Add the two like fractions:
   1200/864 + 1134/864 = 1200 + 1134/864 = 2334/864
5. 2334/864 simplified gives 389/144
6. So, 75/54 + 42/32 = 389/144
   In mixed form: 2101/144

MathStep (Works offline)

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

Related: ⁷⁵/₅₄+⁸⁴/₃₂ ⁷⁵/₅₄+⁴²/₆₄ ⁷⁵/₅₄+⁴²/₉₆

Add Fractions Calculator