Answers

Add 75/14 and 45/40

1^st number: 5 5/14, 2^nd number: 1 5/40

75/14 + 45/40 is 363/56.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 14 and 40 is 280
   
   Next, find the equivalent fraction of both fractional numbers with denominator 280
2. For the 1st fraction, since 14 × 20 = 280,
   75/14 = 75 × 20/14 × 20 = 1500/280
3. Likewise, for the 2nd fraction, since 40 × 7 = 280,
   45/40 = 45 × 7/40 × 7 = 315/280
4. Add the two like fractions:
   1500/280 + 315/280 = 1500 + 315/280 = 1815/280
5. 1815/280 simplified gives 363/56
6. So, 75/14 + 45/40 = 363/56
   In mixed form: 627/56

MathStep (Works offline)

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

Related: ⁷⁵/₁₄+⁹⁰/₄₀ ⁷⁵/₂₈+⁴⁵/₄₀ ⁷⁵/₁₄+⁴⁵/₈₀ ⁷⁵/₄₂+⁴⁵/₄₀ ⁷⁵/₇₀+⁴⁵/₄₀ ⁷⁵/₉₈+⁴⁵/₄₀

Add Fractions Calculator