We want to subtract the following 2 fractions:

4
5
-
  
1
3

Match Denominators

Denominator 1 ≠ Denominator 2.
We need matching denominators

Multiply fraction 1 numerator * fraction 2 denominator.
Multiply fraction 2 numerator by the fraction 1 denominator

Fraction 1 - Fraction 2  =  Numerator 1 * Denominator 2 - Numerator 2 * Denominator 1
  Denominator 1 * Denominator 2

Fraction 1 - Fraction 2  =  4 * 3 - 1 * 5
  5 * 3

Fraction 1 - Fraction 2  =  12 - 5
  15

Fraction 1 - Fraction 2  =  7
  15

Check if simplified

Our fraction is already reduced.
This means our fraction has a Greatest Common Factor (GCF) = 1.
Therefore, we have our answer:

Answer = 7/15


Answer  =  7
  15

Final Answer


7/15