Question

which fractions are equivalent to \\(\frac{16}{20}\\)?
hint: there may be more than one.
\\(\frac{12}{15}\\) \\(\frac{4}{5}\\) \\(\frac{8}{10}\\) \\(\frac{14}{16}\\)

Explanation:

Step1: Simplify the given fraction

Simplify \(\frac{16}{20}\) by dividing numerator and denominator by their greatest common divisor, which is 4. So, \(\frac{16\div4}{20\div4}=\frac{4}{5}\).

Step2: Check each option

• For \(\frac{12}{15}\): Simplify by dividing numerator and denominator by 3. \(\frac{12\div3}{15\div3}=\frac{4}{5}\), which is equivalent to \(\frac{16}{20}\).
• For \(\frac{4}{5}\): Already simplified and equal to the simplified form of \(\frac{16}{20}\), so equivalent.
• For \(\frac{8}{10}\): Simplify by dividing numerator and denominator by 2. \(\frac{8\div2}{10\div2}=\frac{4}{5}\), equivalent to \(\frac{16}{20}\).
• For \(\frac{14}{16}\): Simplify by dividing numerator and denominator by 2. \(\frac{14\div2}{16\div2}=\frac{7}{8}\), not equal to \(\frac{4}{5}\), so not equivalent.

Answer:

The equivalent fractions to \(\frac{16}{20}\) are \(\frac{12}{15}\), \(\frac{4}{5}\), and \(\frac{8}{10}\). So the correct options are:

• \(\frac{12}{15}\)
• \(\frac{4}{5}\)
• \(\frac{8}{10}\)