Question

which fractions are equivalent to \\(\frac{3}{10}\\)?
hint: there may be more than one.
\\(\frac{6}{20}\\) \\(\frac{2}{4}\\) \\(\frac{1}{2}\\) \\(\frac{4}{11}\\)

Explanation:

Step1: Recall equivalent fraction rule

Equivalent fractions are found by multiplying or dividing numerator and denominator by the same non - zero number. The rule is $\frac{a}{b}=\frac{a\times k}{b\times k}=\frac{a\div k}{b\div k}$, where $k
eq0$.

Step2: Check $\frac{6}{20}$

Simplify $\frac{6}{20}$ by dividing numerator and denominator by 2. $\frac{6\div2}{20\div2}=\frac{3}{10}$. So $\frac{6}{20}$ is equivalent to $\frac{3}{10}$.

Step3: Check $\frac{2}{4}$

Simplify $\frac{2}{4}$ by dividing numerator and denominator by 2. $\frac{2\div2}{4\div2}=\frac{1}{2}=0.5$, and $\frac{3}{10} = 0.3$. Since $0.5
eq0.3$, $\frac{2}{4}$ is not equivalent to $\frac{3}{10}$.

Step4: Check $\frac{1}{2}$

$\frac{1}{2}=0.5$ and $\frac{3}{10}=0.3$. Since $0.5
eq0.3$, $\frac{1}{2}$ is not equivalent to $\frac{3}{10}$.

Step5: Check $\frac{4}{11}$

$\frac{4}{11}\approx0.36$ and $\frac{3}{10} = 0.3$. Since $0.36
eq0.3$, $\frac{4}{11}$ is not equivalent to $\frac{3}{10}$.

Answer:

Only $\frac{6}{20}$ is equivalent to $\frac{3}{10}$ among the given options. The correct fraction is $\frac{6}{20}$.