Converting decimals to mixed numbers means changing a decimal number into a number that includes a whole number part and a fractional part. The fractional part shows the decimal as a fraction of a whole.
A mixed number always has a whole number and a fraction. The fraction represents the part left over after the decimal point.
Follow these clear steps to convert any decimal into a mixed number.
Always reduce the fraction to its simplest form. Divide both the numerator (top number) and the denominator (bottom number) by their greatest common factor.
Let’s look at some examples to see how decimals become mixed numbers.
If the decimal has one digit after the point, it usually becomes tenths. If it has two digits, it becomes hundredths. Simplify every time you can.
To check your answer, convert the mixed number back into a decimal. If it matches the original number, your answer is correct.
Practicing both converting and checking helps you understand the relationship between decimals and fractions.