Decimal-Fraction Conversion Math Example 1
Follow the full solution, then compare it with the other examples linked below.
Example 1
easyConvert to a decimal.
Solution
- 1 Divide the numerator by the denominator: .
- 2 : goes into eight times (), remainder . Bring down: . into is (), remainder . Bring down: . into is , remainder .
- 3 Result: .
Answer
To convert a fraction to a decimal, perform long division of the numerator by the denominator. When the remainder reaches zero, the decimal terminates. A fraction terminates when the denominator (in lowest terms) has only factors of 2 and/or 5.
About Decimal-Fraction Conversion
Converting between fraction form and decimal form of a number: divide numerator by denominator for fraction-to-decimal, and use place value to go the other way.
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