Question

which fractions are equivalent to \\(\frac{2}{12}\\)?
hint: there may be more than one.
\\(\boldsymbol{\frac{4}{9}}\\) \\(\boldsymbol{\frac{3}{18}}\\) \\(\boldsymbol{\frac{2}{5}}\\) \\(\boldsymbol{\frac{1}{6}}\\)

Explanation:

Step1: Simplify the given fraction

Simplify \(\frac{2}{12}\) by dividing numerator and denominator by their greatest common divisor, which is 2. So \(\frac{2\div2}{12\div2}=\frac{1}{6}\).

Step2: Check each fraction

• For \(\frac{4}{9}\): Simplify \(\frac{2}{12}=\frac{1}{6}\approx0.1667\), \(\frac{4}{9}\approx0.444\), not equal.
• For \(\frac{3}{18}\): Divide numerator and denominator by 3, \(\frac{3\div3}{18\div3}=\frac{1}{6}\), equal to \(\frac{2}{12}\).
• For \(\frac{2}{5} = 0.4\), not equal to \(\frac{1}{6}\approx0.1667\).
• For \(\frac{1}{6}\): Equal to the simplified form of \(\frac{2}{12}\).

Answer:

The fractions equivalent to \(\frac{2}{12}\) are \(\frac{3}{18}\) and \(\frac{1}{6}\).