Fractions, decimal and percentages：練習問題

Which of the following is equivalent to \(0.625\)?

Convert the recurring decimal \(0.2\dot{4}\dot{7}\) into a fraction in its simplest form.

A property's value increased by 10% in the first year and decreased by 10% in the second year. If the value at the end of the second year was $198,000, what was the original value at the start of the first year?

Convert the decimal 0.08 into a fraction in its simplest form.

The price of a product increases from $80 to $92. Calculate the percentage increase.

Calculate \(\frac{4}{7}\) of \(154\).

Express 45 minutes as a fraction of 2 hours, giving your answer in its simplest form.

An investment of \(\$4000\) earns 2.5% compound interest per annum. Calculate the total interest earned after 3 years, giving your answer to the nearest cent.

Calculate the exact value of \( 3\frac{1}{4} + 2\frac{2}{3} \div \frac{4}{5} \). Give your answer as a mixed number in its simplest form.

(a) Show that the recurring decimal \( 0.2\dot{3}\dot{6} \) can be written as the fraction \( \frac{13}{55} \).
(b) Hence, calculate the value of \( 0.2\dot{3}\dot{6} \div 0.4 \), giving your answer as a fraction in its simplest form.