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IM 6.5.11 Practice: Dividing Numbers that Result in Decimals

Use long division to show that the fraction and decimal in each pair are equal.

 and

and

and

Mai walked  of a 30-mile walking trail. How many miles did Mai walk? Explain or show your reasoning.

Use long division to find each quotient. Write your answer as a decimal.

Tyler reasoned: “ is equivalent to  and to , so the decimal of  is 0.36.” Use long division to show that Tyler is correct.

Is the decimal of  also 0.36? Use long division to support your answer.

Complete the calculations so that each shows the correct difference.

Use the equation  and what you know about fractions, decimals, and place value to explain how to place the decimal point when you compute .