4.9: Proficiency Exam
- Page ID
- 52590
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Exercise \(\PageIndex{1}\)
Shade a portion that corresponds to the fraction \(\dfrac{5}{8}\)
- Answer
-
Exercise \(\PageIndex{2}\)
Specify the numerator and denominator of the fraction \(\dfrac{5}{9}\).
- Answer
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Numerator, 5; denominator, 9
Exercise \(\PageIndex{3}\)
Write the fraction five elevenths.
- Answer
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\(\dfrac{5}{11}\)
Exercise \(\PageIndex{4}\)
Write, in words, \(\dfrac{4}{5}\)
- Answer
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Four fifths
Exercise \(\PageIndex{5}\)
Which of the fractions is a proper fraction? \(4 \dfrac{1}{12}\), \(\dfrac{5}{12}\), \(\dfrac{12}{5}\)
- Answer
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\(\dfrac{5}{12}\)
Exercise \(\PageIndex{6}\)
Convert \(3 \dfrac{4}{7}\) to an improper fraction.
- Answer
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\(\dfrac{25}{7}\)
Exercise \(\PageIndex{7}\)
Convert \(\dfrac{16}{5}\) to a mixed number.
- Answer
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\(3 \dfrac{1}{5}\)
Exercise \(\PageIndex{8}\)
Determine if \(\dfrac{5}{12}\) and \(\dfrac{20}{48}\) are equivalent fractions.
- Answer
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yes
For problems 9-11, reduce, if possible, each fraction to lowest terms.
Exercise \(\PageIndex{9}\)
\(\dfrac{21}{35}\)
- Answer
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\(\dfrac{3}{5}\)
Exercise \(\PageIndex{10}\)
\(\dfrac{15}{51}\)
- Answer
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\(\dfrac{5}{17}\)
Exercise \(\PageIndex{11}\)
\(\dfrac{104}{480}\)
- Answer
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\(\dfrac{13}{60}\)
For problems 12 and 13, determine the missing numerator or denominator.
Exercise \(\PageIndex{12}\)
\(\dfrac{5}{9} = \dfrac{?}{36}\)
- Answer
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20
Exercise \(\PageIndex{13}\)
\(\dfrac{4}{3} = \dfrac{32}{?}\)
- Answer
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24
For problems 14-25, find each value.
Exercise \(\PageIndex{14}\)
\(\dfrac{15}{16} \cdot \dfrac{4}{25}\)
- Answer
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\(\dfrac{3}{20}\)
Exercise \(\PageIndex{15}\)
\(3 \dfrac{3}{4} \cdot 2 \dfrac{2}{9} \cdot 6 \dfrac{3}{5}\)
- Answer
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55
Exercise \(\PageIndex{16}\)
\(\sqrt{\dfrac{25}{36}}\)
- Answer
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\(\dfrac{5}{6}\)
Exercise \(\PageIndex{17}\)
\(\sqrt{\dfrac{4}{9}} \cdot \sqrt{\dfrac{81}{64}}\)
- Answer
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\(\dfrac{3}{4}\)
Exercise \(\PageIndex{18}\)
\(\dfrac{11}{30} \cdot \sqrt{\dfrac{225}{121}}\)
- Answer
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\(\dfrac{1}{2}\)
Exercise \(\PageIndex{19}\)
\(\dfrac{4}{15} \div 8\)
- Answer
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\(\dfrac{1}{30}\)
Exercise \(\PageIndex{20}\)
\(\dfrac{8}{15} \cdot \dfrac{5}{12} \div 2 \dfrac{4}{9}\)
- Answer
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\(\dfrac{1}{11}\)
Exercise \(\PageIndex{21}\)
\((\dfrac{6}{5})^3 \div \sqrt{1 \dfrac{11}{15}}\)
- Answer
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\(\dfrac{36}{25} = 1 \dfrac{11}{25}\)
Exercise \(\PageIndex{22}\)
Find \(\dfrac{5}{12}\) of \(\dfrac{24}{25}\).
- Answer
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\(\dfrac{2}{5}\)
Exercise \(\PageIndex{23}\)
\(\dfrac{2}{9}\) of what number is \(\dfrac{1}{18}\)?
- Answer
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\(\dfrac{1}{4}\)
Exercise \(\PageIndex{24}\)
\(1\dfrac{5}{7}\) of \(\dfrac{21}{20}\) is what number?
- Answer
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\(\dfrac{9}{5} = 1 \dfrac{4}{5}\)
Exercise \(\PageIndex{25}\)
What part of \(\dfrac{9}{14}\) is \(\dfrac{6}{7}\)?
- Answer
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\(\dfrac{4}{3}\) or \(1 \dfrac{1}{3}\)