Question

Match the following fractions with their appropriate equaivalent values or statements.

• A. Terminating decimal
• B. Repeating decimal
• C. $\frac{5}{2^2\times 3}$
• D. $\frac{192}{1000}$

Answer 1

$\frac{5}{12}=\frac{5}{2\times 2\times 3}=\frac{5}{2^2\times 3}$ and this is known as a repeating decimal because the denominators are not in the multiples of $2$ and $5$

$\frac{23}{200}=\frac{23}{8\times 25}=\frac{23}{2^3\times 5^2}$ and this is known as a terminating decimal because the denominators are in the multiples of $2$ and $5$

$\frac{7}{75}=\frac{7}{3\times 5\times 5}=\frac{7}{3\times 5^2}$ ,which is a repeating decimal because the denominators are not in the multiples of $2$ and $5$

$\frac{24}{125}=\frac{24}{5^3}=\frac{24\times 8}{125\times 8}=\frac{192}{1000}$, which is a terminating decimal because the denominators are in the multiples of $2$ and $5$