How to write a decimal into a mixed number?
Understand the Problem
The question is asking how to convert a decimal number into a mixed number. A mixed number consists of a whole number and a proper fraction, so the solution will involve separating the whole part from the decimal part and then converting the decimal part into a fraction.
Answer
The mixed number for the decimal $3.75$ is $3\frac{3}{4}$.
Answer for screen readers
The mixed number for the decimal $3.75$ is $3\frac{3}{4}$.
Steps to Solve
- Identify the whole number part
Separate the decimal number into its whole number and decimal parts. For example, in the decimal number $3.75$, the whole number part is $3$ and the decimal part is $0.75$.
- Convert the decimal part into a fraction
Convert the decimal part into a fraction. You take the decimal $0.75$ and write it as $\frac{75}{100}$ since it has two decimal places.
- Simplify the fraction
To simplify $\frac{75}{100}$, divide both the numerator and the denominator by their greatest common divisor, which is $25$. Thus, $\frac{75 \div 25}{100 \div 25} = \frac{3}{4}$.
- Form the mixed number
Combine the whole number with the simplified fraction to create the mixed number. So $3.75$ converts to $3\frac{3}{4}$.
The mixed number for the decimal $3.75$ is $3\frac{3}{4}$.
More Information
Mixed numbers are useful in various areas of math, especially in measurements and cooking where combining whole quantities and fractions is often required.
Tips
A common mistake is forgetting to simplify the fraction after converting the decimal part. Always check if the fraction can be reduced to its simplest form.
