Question

what is the simplified form of the fraction?
\\(\frac{7}{28}=\\)
\\(\bigcirc\\) \\(\frac{1}{4}\\)
\\(\bigcirc\\) \\(\frac{1}{21}\\)
\\(\bigcirc\\) \\(\frac{1}{7}\\)
\\(\bigcirc\\) \\(\frac{7}{28}\\)

Explanation:

Step1: Find GCD of 7 and 28

The greatest common divisor (GCD) of 7 and 28 is 7, since 7 is a factor of both 7 (7×1) and 28 (7×4).

Step2: Divide numerator and denominator by GCD

Divide the numerator 7 and the denominator 28 by 7:
$\frac{7\div7}{28\div7} = \frac{1}{4}$

Answer:

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