Question

which fraction is equivalent to \\(\frac{3}{13}\\)? \\(\frac{1}{2}\\) \\(\frac{3}{12}\\) \\(\frac{1}{7}\\) \\(\frac{6}{26}\\) submit

Explanation:

Step1: Recall equivalent fraction rule

Equivalent fractions are made by multiplying/dividing numerator and denominator by the same non-zero number.

Step2: Test each option

• For $\frac{1}{2}$: $\frac{3}{13}

eq \frac{1}{2}$ (cross multiply: $3\times2=6$, $1\times13=13$; $6
eq13$)

• For $\frac{3}{12}$: Simplify to $\frac{1}{4}$, $\frac{3}{13}

eq \frac{1}{4}$ (cross multiply: $3\times4=12$, $1\times13=13$; $12
eq13$)

• For $\frac{1}{7}$: $\frac{3}{13}

eq \frac{1}{7}$ (cross multiply: $3\times7=21$, $1\times13=13$; $21
eq13$)

• For $\frac{6}{26}$: Divide numerator and denominator by 2: $\frac{6\div2}{26\div2}=\frac{3}{13}$

Answer:

$\frac{6}{26}$