Numbers are often written as fractions, decimals, or percentages. Converting between these forms allows you to compare values easily and solve problems in exams and real-life situations.

To convert a fraction to a decimal, divide the numerator by the denominator.

$$
\frac{3}{5} = 0.6
$$

To convert a decimal to a fraction, write the decimal as a fraction using place value, then simplify.

$$
0.4 = \frac{4}{10} = \frac{2}{5}
$$

To convert a decimal to a percentage, multiply by \(100\).

$$
0.38 = 38\%
$$

To convert a percentage to a decimal, divide by \(100\).

$$
7\% = 0.07
$$

To convert a percentage to a fraction, write the percentage over \(100\) and simplify if possible.

$$
45\% = \frac{45}{100} = \frac{9}{20}
$$

To convert a fraction directly to a percentage, first convert it to a decimal, then multiply by \(100\).

$$
\frac{1}{8} = 0.125 = 12.5\%
$$

Always simplify fractions where possible, and check your answer makes sense. For example, values less than \(1\) represent less than a whole, and percentages greater than \(100%\) represent more than one whole.