Question

which fractions are equivalent to \\(\frac{15}{18}\\)?
hint: there may be more than one.
\\(\frac{14}{17}\\) \\(\frac{5}{6}\\) \\(\frac{10}{12}\\) \\(\frac{12}{20}\\)
submit

Explanation:

Step1: Simplify \(\frac{15}{18}\)

Divide numerator and denominator by 3: \(\frac{15\div3}{18\div3}=\frac{5}{6}\). So \(\frac{5}{6}\) is equivalent.

Step2: Check \(\frac{14}{17}\)

\(\frac{14}{17}\) cannot be simplified to \(\frac{5}{6}\) (14 and 17 have no common factors, 14/17 ≈0.82, 15/18≈0.83, but not equal). Not equivalent.

Step3: Check \(\frac{10}{12}\)

Simplify \(\frac{10}{12}\) by dividing by 2: \(\frac{10\div2}{12\div2}=\frac{5}{6}\). Equivalent.

Step4: Check \(\frac{12}{20}\)

Simplify \(\frac{12}{20}\) by dividing by 4: \(\frac{12\div4}{20\div4}=\frac{3}{5}\), which is not \(\frac{5}{6}\). Not equivalent.

Answer:

\(\frac{5}{6}\), \(\frac{10}{12}\)