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McGraw-Hill Math Grade 7 Answer Key Lesson 9.2 Changing Fractions to Decimals
Exercises Change Fractions To Decimals
Round to the nearest ten-thousandth.
Question 1.
\(\frac{5}{16}\)
Answer:
0.3125
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{5}{16}\) = 5 ÷ 16 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 2.
\(\frac{4}{7}\)
Answer:
0.5714
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{4}{7}\) = 4 ÷ 7 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 3.
\(\frac{15}{31}\)
Answer:
0.4839
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{15}{31}\) = 15 ÷ 31 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 4.
\(\frac{3}{5}\)
Answer:
0.6000
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{3}{5}\) = 3 ÷ 5 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 5.
\(\frac{5}{212}\)
Answer:
0.0236
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{5}{212}\) = 5 ÷ 212 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 6.
\(\frac{31}{33}\)
Answer:
0.9394
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{31}{33}\) = 31 ÷ 33 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 7.
\(\frac{45}{157}\)
Answer:
0.2866
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{45}{157}\) = 45 ÷ 157 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 8.
\(\frac{12}{13}\)
Answer:
0.9231
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{12}{13}\) = 12 ÷ 13 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 9.
\(\frac{1}{2001}\)
Answer:
0.0005
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{5}{16}\) = 1 ÷ 2001 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 10.
\(\frac{23}{76}\)
Answer:
0.3026
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{23}{76}\) = 23 ÷ 76 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 11.
\(\frac{3}{32}\)
Answer:
0.0938
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{3}{32}\) = 3 ÷ 32 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 12.
\(\frac{55}{66}\)
Answer:
0.8333
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{55}{66}\) = 55 ÷ 66 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 13.
\(\frac{12}{47}\)
Answer:
0.2553
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{12}{47}\) = 12 ÷ 47 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 14.
\(\frac{7}{8}\)
Answer:
0.8750
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{7}{8}\) = 7 ÷ 8 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 15.
\(\frac{13}{15}\)
Answer:
0.8667
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{13}{15}\) = 13 ÷ 15 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
Question 16.
\(\frac{13}{17}\)
Answer:
0.7647
Explanation:
Every fraction represents its numerator divided by its denominator.
So, \(\frac{13}{17}\) = 13 ÷ 17 to set up a division problem,
Add a decimal point and as many placeholder zeros as you need in your dividend, as shown below.
