Question

Write ten such fractions which can be expressed in repeating decimals. Write five

repeating decimals of your choice and express them as a fraction in simplest form.​

Answer 1

Prime numbers in the denominator except 2 and 5 yield repeating decimals, no matter what is the numerator.

Explanation:

Ten such examples of fractions which can be expressed in repeating decimals are:

$\frac{2}{41}$ , $\frac{3}{39}$ , $\frac{1}{21}$ , $\frac{7}{9}$ , $\frac{1}{9}$ , $\frac{4}{9}$ , $\frac{2}{3}$ , $\frac{7}{12}$ , $\frac{125}{999}$ , $\frac{1}{15}$

Five repeating decimals expressed in fractions are:

0.1234 = $\frac{611}{4950}$

0.0069 = $\frac{69}{9900}$

7.481 = $\frac{823}{110}$

0.33 = $\frac{1}{3}$

1.256 = $\frac{622}{495}$