Classify the decimal expansion of each fraction as a terminating decimal or a repeating decimal.Drag and drop the fractions into the boxes to correctly complete the table.Terminating Decimal Repeating Decimal25/60 17/60 31/44 54/72
Question
Answer:
A repeating decimal is a decimal that has a digit, or a group of digits, that repeat forever. A terminating decimal, on the other hand, is a decimal that ends. To find which decimals are repeating and which ones are terminal, we are going to simplify our fractions, and express them in decimal form:[tex] \frac{25}{60} = \frac{5}{12} =0.4166666666...[/tex] 6 is repeating forever, so this is a repeating decimal.
[tex] \frac{17}{60} =0.283333333....[/tex] 3 is repeating forever, so this is a repeating decimal.
[tex] \frac{31}{44} =07045454545....[/tex] 45 is repeating forever, so this is a repeating decimal.
[tex] \frac{54}{72} = \frac{3}{4} =0.75[/tex] No digit is repeating forever, so this is a terminating decimal.
We can conclude that:
Repeating decimals: [tex] \frac{25}{60} [/tex], [tex] \frac{17}{60} [/tex], and [tex] \frac{31}{44} [/tex]
Terminating decimals: [tex] \frac{54}{72} [/tex]
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