5.9: Proficiency Exam
- Page ID
- 52599
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For problems 1-12, perform each indicated operation and write the result in simplest form.
Exercise \(\PageIndex{1}\)
\(\dfrac{3}{16} + \dfrac{1}{8}\)
- Answer
-
\(\dfrac{5}{16}\)
Exercise \(\PageIndex{2}\)
\(2 \dfrac{2}{3} + 5 \dfrac{1}{6}\)
- Answer
-
\(7 \dfrac{5}{6}\)
Exercise \(\PageIndex{3}\)
\(\dfrac{7}{15} \cdot \dfrac{20}{21} + \dfrac{5}{9}\)
- Answer
-
1
Exercise \(\PageIndex{4}\)
\(\dfrac{3}{11} + \dfrac{5}{11}\)
- Answer
-
\(\dfrac{8}{11}\)
Exercise \(\PageIndex{5}\)
\(6 \dfrac{2}{9} \cdot 1 \dfrac{17}{28} - (3 \dfrac{4}{17} - \dfrac{21}{17})\)
- Answer
-
8
Exercise \(\PageIndex{6}\)
\(5 \dfrac{1}{8} - 2 \dfrac{4}{5}\)
- Answer
-
\(2 \dfrac{13}{40}\)
Exercise \(\PageIndex{7}\)
\(\dfrac{\dfrac{7}{12}}{\dfrac{8}{21}}\)
- Answer
-
\(\dfrac{49}{32}\) or \(\dfrac{17}{32}\)
Exercise \(\PageIndex{8}\)
\(\dfrac{\dfrac{1}{8} + \dfrac{3}{4}}{1 \dfrac{7}{8}}\)
- Answer
-
\(\dfrac{7}{15}\)
Exercise \(\PageIndex{9}\)
\(4 \dfrac{5}{16} + 1 \dfrac{1}{3} - 2 \dfrac{5}{24}\)
- Answer
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\(3 \dfrac{7}{16}\)
Exercise \(\PageIndex{10}\)
\(\dfrac{5}{18} \cdot (\dfrac{15}{16} - \dfrac{3}{8})\)
- Answer
-
\(\dfrac{5}{32}\)
Exercise \(\PageIndex{11}\)
\(4 + 2 \dfrac{1}{3}\)
- Answer
-
\(6 \dfrac{1}{3}\) or \(\dfrac{19}{3}\)
Exercise \(\PageIndex{12}\)
\(8 \dfrac{3}{7} - 5\)
- Answer
-
\(3 \dfrac{3}{7}\)
For problems 13-15, specify the fractions that are equivalent.
Exercise \(\PageIndex{13}\)
\(\dfrac{4}{5}, \dfrac{12}{15}\)
- Answer
-
equivalent
Exercise \(\PageIndex{14}\)
\(\dfrac{5}{8}, \dfrac{24}{40}\)
- Answer
-
not equivalent
Exercise \(\PageIndex{15}\)
\(\dfrac{5}{12}, \dfrac{80}{192}\)
- Answer
-
equivalent
For problems 16-20, place each collection of fractions in order from smallest to largest.
Exercise \(\PageIndex{16}\)
\(\dfrac{8}{9}, \dfrac{6}{7}\)
- Answer
-
\(\dfrac{6}{7}, \dfrac{8}{9}\)
Exercise \(\PageIndex{17}\)
\(\dfrac{5}{8}, \dfrac{7}{9}\)
- Answer
-
\(\dfrac{5}{8}, \dfrac{7}{9}\)
Exercise \(\PageIndex{17}\)
\(11 \dfrac{5}{16}, 11 \dfrac{5}{12}\)
- Answer
-
\(11 \dfrac{5}{16}, 11 \dfrac{5}{12}\)
Exercise \(\PageIndex{18}\)
\(\dfrac{2}{15}, \dfrac{3}{10}, \dfrac{1}{6}\)
- Answer
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\(\dfrac{2}{15}, \dfrac{1}{6}, \dfrac{3}{10}\)
Exercise \(\PageIndex{19}\)
\(\dfrac{19}{32}, \dfrac{9}{16}, \dfrac{5}{8}\)
- Answer
-
\(\dfrac{9}{16}, \dfrac{19}{32}, \dfrac{5}{8}\)