How to convert fractions into decimals?
Understand the Problem
The question is asking for the method or process to convert fractions into their decimal equivalents. This typically involves division, where the numerator of the fraction is divided by the denominator.
Answer
Divide the numerator by the denominator
Answer for screen readers
To convert fractions into decimals, divide the numerator by the denominator. For example, to convert 3/4 to a decimal, divide 3 by 4, which equals 0.75.
Steps to Solve
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Identify fraction parts
Recognize the parts of the fraction:
- Numerator: the number above the fraction line
- Denominator: the number below the fraction line
For example, in the fraction $\frac{3}{4}$:
- 3 is the numerator
- 4 is the denominator
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Set up division
Set up the division problem by placing the numerator as the dividend and the denominator as the divisor.
For $\frac{3}{4}$, set up:
$3 \div 4$
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Perform division
Carry out the division, using a calculator if needed. If the division doesn't result in a terminating decimal, round to an appropriate number of decimal places.
For $3 \div 4$:
$3 \div 4 = 0.75$
Therefore, $\frac{3}{4} = 0.75$ in decimal form.
To convert fractions into decimals, divide the numerator by the denominator. For example, to convert 3/4 to a decimal, divide 3 by 4, which equals 0.75.
More Information
Some fractions result in repeating decimals. For example, 1/3 becomes 0.3333... (repeating). In such cases, we often use a bar over the repeating digit(s) or round to a certain number of decimal places.
Tips
Common mistakes include:1. Dividing the denominator by the numerator instead of the other way around.2. Forgetting to include the decimal point in the result.3. Not recognizing when a decimal repeats infinitely and needs to be rounded or represented with a bar.
