Question

for 7-14, write an equivalent fraction for each given fraction. 7. \\(\frac{10}{2}\\) 8. \\(\frac{4}{5}\\) 9. \\(\frac{9}{3}\\) 10. \\(\frac{3}{10}\\)

Explanation:

Problem 7: $\boldsymbol{\frac{10}{2}}$

Step1: Simplify or find equivalent

To find an equivalent fraction, we can divide numerator and denominator by a common factor. Here, divide numerator and denominator by 2.
$\frac{10\div2}{2\div2}=\frac{5}{1}$
Or multiply numerator and denominator by a number, say 2: $\frac{10\times2}{2\times2}=\frac{20}{4}$ (either is correct, here we use simplification).

Step1: Multiply numerator and denominator

To find an equivalent fraction, multiply numerator and denominator by the same non - zero number, say 2.
$\frac{4\times2}{5\times2}=\frac{8}{10}$

Step1: Simplify the fraction

Divide numerator and denominator by their greatest common divisor, which is 3.
$\frac{9\div3}{3\div3}=\frac{3}{1}$
Or multiply by a number, e.g., 2: $\frac{9\times2}{3\times2}=\frac{18}{6}$

Answer:

$\frac{5}{1}$ (or other equivalent like $\frac{20}{4}$)

Problem 8: $\boldsymbol{\frac{4}{5}}$