Question

calculate:
\\(\frac{13}{20} - \frac{2}{5} = \frac{\square}{\square}\\)
hint:
you need to simplify the final answer.

Explanation:

Step1: Find a common denominator

The denominators are 20 and 5. The least common denominator of 20 and 5 is 20. Rewrite $\frac{2}{5}$ with denominator 20: $\frac{2}{5}=\frac{2\times4}{5\times4}=\frac{8}{20}$

Step2: Subtract the fractions

Now subtract $\frac{13}{20}-\frac{8}{20}=\frac{13 - 8}{20}=\frac{5}{20}$

Step3: Simplify the result

Simplify $\frac{5}{20}$ by dividing numerator and denominator by their greatest common divisor, which is 5: $\frac{5\div5}{20\div5}=\frac{1}{4}$

Answer:

$\frac{1}{4}$