Fundamentals 2  Fraction/Decimal/Percent Equivalents
When calculating by hand, integers are best, but you don't always get integers. Sometimes you can rephrase problems by turning fractions or decimals into fractions, but more often than not you can't do that. In that case, fractions are almost always better than decimals. Consequently, you need to know how to turn decimals into fractions..
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Question 1 
\(\Large\frac{5}{6}\)\( = \)
Select two.
A  \(87.5\)% 
B  \(83.3\)% 
C  \(0.875\) 
D  \(0.833\) 
Question 1 Explanation:
\(\Large\frac{5}{6}\)\( = 0.833 = 83.3%\). The decimal expansion repeats forever  \(0.83333...\). The correct answers are B and D.
Question 2 
\(\Large\frac{5}{8}\)\( = \)
Select two.
A  \(65\)% 
B  \(0.65\) 
C  \(0.625\) 
D  \(62.5\)% 
Question 2 Explanation:
\(\Large\frac{5}{8}\)\( = 0.625 = 62.5\)%. The correct answers are C and D.
Question 3 
\(\Large\frac{1}{20}\)\( = \)
Select two.
A  \(0.04\) 
B  \(0.05\) 
C  \(4\)% 
D  \(5\)% 
Question 3 Explanation:
\(\Large\frac{1}{20}\)\( = 0.05 = 5\)%. The correct answers are B and D.
Question 4 
\(\Large\frac{1}{5}\)\( = \)
Select two.
A  \(20\)% 
B  \(0.2\) 
C  \(0.5\) 
D  \(50\)% 
Question 4 Explanation:
\(\Large\frac{1}{5}\)\( = 0.20 = 20\)%. The correct answers are A and B.
Question 5 
\(\Large\frac{3}{10}\)\( = \)
Select two.
A  \(3\)% 
B  \(0.03\) 
C  \(30%\) 
D  \(0.3\) 
Question 5 Explanation:
\(\Large\frac{3}{10}\)\( = 0.3 = 30\)%. The correct answers are C and D.
Question 6 
\(\Large\frac{1}{6}\)\( = \)
Select two.
A  \(0.125\) 
B  \(12.5\)% 
C  \(0.167\) 
D  \(16.7\)% 
Question 6 Explanation:
\(\Large\frac{1}{6}\)\( = 0.167 = 167\)%. The decimal expansion repeats forever  \(0.166666...\). The correct answers are C and D.
Question 7 
\(\Large\frac{3}{8}\)\( = \)
Select two.
A  \(33\)% 
B  \(37.5\)% 
C  \(0.375\)

D  \(0.33\) 
Question 7 Explanation:
\(\Large\frac{3}{8}\)\( = 0.375 = 37.5\)%. The correct answers are B and C.
Question 8 
\(\Large\frac{3}{5}\)\( = \)
Select two.
A  \(0.6\) 
B  \(60\)% 
C  \(0.8\) 
D  \(80\)% 
Question 8 Explanation:
\(\Large\frac{3}{5}\)\( = 0.6 = 60\)%. The correct answers are A and B.
Question 9 
\(\Large\frac{2}{3}\)\( = \)
Select two.
A  \(23\)% 
B  \(67\)% 
C  \(0.67\) 
D  \(0.23\) 
Question 9 Explanation:
\(\Large\frac{2}{3}\)\( = 0.67 = 67\)%. The decimal expansion repeats forever  \(0.66666...\). The correct answers are B and C.
Question 10 
\(\Large\frac{4}{5}\)\( = \)
Select two.
A  \(80\)% 
B  \(75\)% 
C  \(0.8\) 
D  \(0.75\) 
Question 10 Explanation:
\(\Large\frac{4}{5}\)\( = 0.8 = 80\)%. The correct answers are A and C.
Question 11 
\(\Large\frac{1}{8}\)\( = \)
Select two.
A  \(0.125\) 
B  \(0.167\) 
C  \(16.7\)% 
D  \(12.5\)% 
Question 11 Explanation:
\(\Large\frac{1}{8}\)\( = 0.125 = 12.5\)%. The correct answers are A and D.
Question 12 
\(\Large\frac{1}{3}\)\( = \)
Select two.
A  \(33\)% 
B  \(0.33\) 
C  \(0.3\) 
D  \(30\)% 
Question 12 Explanation:
\(\Large\frac{1}{3}\)\( = 0.33 = 33\)%. The decimal expansion repeats forever  \(0.33333...\). The correct answers are A and B.
Question 13 
\(\Large\frac{2}{5}\)\( = \)
Select two.
A  \(25\)% 
B  \(0.25\) 
C  \(0.4\) 
D  \(40\)% 
Question 13 Explanation:
\(\Large\frac{2}{5}\)\( = 0.4 = 040\)%. The correct answers are C and D.
Question 14 
\(\Large\frac{7}{8}\)\( = \)
Select two.
A  \(0.85\) 
B  \(0.875\) 
C  \(85\)% 
D  \(87.5\)% 
Question 14 Explanation:
\(\Large\frac{7}{8}\)\( = 0.875 = 87.5\)%. The correct answers are B and D.
Question 15 
\(\Large\frac{1}{4}\)\(=\)
Select two.
A  \(0.4\) 
B  \(2.5\)% 
C  \(0.25\) 
D  \(25\)% 
Question 15 Explanation:
\(\Large\frac{1}{4}\)\(= 0.25 = 25\)%. The correct answers are C and D.
Question 16 
\(\Large\frac{1}{2}\)\(=\)
Select two.
A  \(50\)% 
B  \(0.05\) 
C  \(20\)% 
D  \(0.5\) 
Question 16 Explanation:
\(\Large\frac{1}{2}\)\( = 0.5 = 50\)%. The correct answers are A and D.
Question 17 
\(\Large\frac{9}{10}\)\( = \)
Select two.
A  \(9\)% 
B  \(0.09\) 
C  \(90\)% 
D  \(0.9\) 
Question 17 Explanation:
\(\Large\frac{9}{10}\)\( = 0.9 = 90\)%. The correct answers are C and D.
Question 18 
\(\Large\frac{1}{100}\)\( = \)
Select two.
A  \(10\)% 
B  \(0.1\) 
C  \(1\)% 
D  \(0.01\) 
Question 18 Explanation:
\(\Large\frac{1}{100}\)\( = 0.01 = 1%\). The correct answers are C and D.
Question 19 
\(\Large\frac{1}{25}\)\( = \)
Select two.
A  \(4\)% 
B  \(5\)% 
C  \(0.04\) 
D  \(0.05\) 
Question 19 Explanation:
\(\Large\frac{1}{25}\)\( = 0.04 = 4\)%. The correct answers are A and C.
Question 20 
\(\Large\frac{3}{4}\)\(=\)
Select two.
A  \(0.75\) 
B  \(75\)% 
C  \(7.5\)% 
D  \(0.075\) 
Question 20 Explanation:
\(\Large\frac{3}{4}\)\( = 0.75 = 0.75\)%. The correct answers are A and B.
Question 21 
\(\Large\frac{7}{10}\)\( = \)
Select two.
A  \(70\)% 
B  \(7\)% 
C  \(0.7\) 
D  \(0.07\) 
Question 21 Explanation:
\(\Large\frac{7}{10}\)\( = 0.7 = 70\)%. The correct answers are A and C.
Question 22 
\(\Large\frac{1}{10}\)\( = \)
Select two.
A  \(10\)% 
B  \(0.1\) 
C  \(1\)% 
D  \(0.01\) 
Question 22 Explanation:
\(\Large\frac{1}{10}\)\( = 0.1 = 10\)%. The correct answers are A and B.
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