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

Mai walked \(\frac{1}{8}\) 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.

1. \(99\div 12\)

2. \(216 \div 5\)

3. \(1,\!988 \div 8\)

Tyler reasoned: “\(\frac{9}{25}\) is equivalent to \(\frac{18}{50}\) and to \(\frac {36}{100}\), so the decimal for \(\frac{9}{25}\) is 0.36.”

1. Use long division to show that Tyler is correct.
2. Is the decimal for \(\frac{18}{50}\) also 0.36? Use long division to support your answer.

Complete the calculations so that each shows the correct difference.

Fill in the blank subtraction problem  b. 1 minus blank blank blank blank equals 0 point 015. 

c. 1 minus blank blank blank blank equals 0 point 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 \((1.24) \boldcdot (0.15)\).