Question

which fractions are equivalent to \\(\frac{14}{16}\\)?
hint: there may be more than one.
\\(\frac{5}{6}\\) \\(\frac{1}{2}\\) \\(\frac{7}{8}\\) \\(\frac{15}{20}\\)

Explanation:

Step1: Simplify $\frac{14}{16}$

Divide numerator and denominator by 2: $\frac{14\div2}{16\div2}=\frac{7}{8}$.

Step2: Check each fraction

• $\frac{5}{6}$: Cross - multiply $14\times6 = 84$, $16\times5 = 80$. $84

eq80$, so not equivalent.

• $\frac{1}{2}$: Cross - multiply $14\times2 = 28$, $16\times1 = 16$. $28

eq16$, so not equivalent.

• $\frac{7}{8}$: As simplified from $\frac{14}{16}$, equivalent.
• $\frac{15}{20}=\frac{3}{4}$. Cross - multiply $14\times4 = 56$, $16\times3 = 48$. $56

eq48$, so not equivalent.

Answer:

$\frac{7}{8}$