Convert 3.66 to a mixed number.
Understand the Problem
The question asks to convert the decimal number 3.66 into a mixed number, which consists of a whole number and a proper fraction.
Answer
$3\frac{33}{50}$
Answer for screen readers
$3\frac{33}{50}$
Steps to Solve
- Identify the whole number part
The whole number part of 3.66 is 3.
- Identify the decimal part
The decimal part of 3.66 is 0.66.
- Convert the decimal part to a fraction
$0.66 = \frac{66}{100}$
- Simplify the fraction
Find the greatest common divisor (GCD) of 66 and 100. The GCD of 66 and 100 is 2. Divide both the numerator and the denominator by 2:
$\frac{66}{100} = \frac{66 \div 2}{100 \div 2} = \frac{33}{50}$
- Combine the whole number and the simplified fraction
The mixed number is $3\frac{33}{50}$.
$3\frac{33}{50}$
More Information
A mixed number is a number consisting of an integer and a proper fraction. In this case, 3 is the integer part and $\frac{33}{50}$ is the proper fraction part.
Tips
A common mistake is not simplifying the fraction. For example, writing $3\frac{66}{100}$ is not the simplest form. Always reduce the fraction to its lowest terms. Another mistake involves misidentifying the decimal portion, or incorrectly converting the decimal into a fraction.
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