Grade 6 | Unit 5 | Lesson 11: Dividing Numbers that Result in Decimals | Practice Problems

Use long division to show that the fraction and decimal in each pair are equal. \(\frac{3}{4}\) and 0.75

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Use long division to show that the fraction and decimal in each pair are equal. \(\frac{3}{50}\) and 0.06

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Use long division to show that the fraction and decimal in each pair are equal. \(\frac{7}{25}\) and 0.28

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Mai walked \(\frac{1}{8}\) of a 30-mile walking trail. How many miles did Mai walk? Explain or show your reasoning.

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Use long division to find each quotient. Write your answer as a decimal. \(99\div 12\)

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Use long division to find each quotient. Write your answer as a decimal. \(216 \div 5\)

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Use long division to find each quotient. Write your answer as a decimal. \(1,988 \div 8\)

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Tyler reasoned: “\(\frac{9}{25}\) is equivalent to \(\frac{18}{50}\) and to \(\frac{36}{100}\), so the decimal of \(\frac{9}{25}\) is 0.36.” Use long division to show that Tyler is correct. Is the decimal of \(\frac{18}{50}\) also 0.36? Use long division to support your answer.

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Complete the calculations so that each shows the correct difference.

• Fill in the blank: 5 minus blank equals 4.329

• Fill in the blank: 1 minus blank equals 0.015

• Fill in the blank: 1 minus blank equals 0.863

Use the equation \(124 \boldcdot 15 = 1,860\) and what you know about fractions, decimals, and place value to explain how to place the decimal point when you compute \((1.24) \boldcdot (0.15)\).

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