Question

how do i know if \\(\frac{5}{20}\\) can be written as a unit fraction?
think about the relationship between the numerator and denominator. complete the equation.
\\(5\times \boxed{4} = 20\\)
5 is a factor of 20.
now, look for an equivalent unit fraction. which unit fraction has a denominator that is 4 times the numerator?
\\(\frac{5}{20} = ?\\)
\\(\boxed{\frac{1}{2}}\\) \\(\boxed{\frac{1}{3}}\\) \\(\boxed{\frac{1}{4}}\\)

Explanation:

Step1: Simplify the fraction

To simplify $\frac{5}{20}$, we divide both the numerator and the denominator by their greatest common divisor, which is 5.
$$\frac{5\div5}{20\div5}=\frac{1}{4}$$

Step2: Check the unit fraction

A unit fraction has a numerator of 1. We simplified $\frac{5}{20}$ to $\frac{1}{4}$, which is a unit fraction with denominator 4 (and numerator 1). Also, from the earlier step, we saw that $5\times4 = 20$, so when we divide both parts by 5, we get the unit fraction with denominator 4.

Answer:

$\frac{1}{4}$ (corresponding to the third option $\frac{1}{4}$)