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Numbers and Operations

SAT Fractions and Decimals

         

In a parking lot there are \(17\) black cars, \(26\) gray cars, \(31\) red cars, and \(5\) purple cars. What fraction of the cars are gray?

(A) \(0\)

(B) \(\frac{5}{79}\)

(C) \(\frac{26}{79}\)

(D) \(\frac{26}{17}\)

(E) \(26\)

For how many integers \(k\) between \(25\) and \(45,\) inclusive, is it true that \(\frac{16}{k}, \frac{7}{k}\), and \(\frac{11}{k}\) are all in lowest terms?

(A) \(\ \ 0\)
(B) \(\ \ 1\)
(C) \(\ \ 9\)
(D) \(\ \ 10\)
(E) \(\ \ 11\)

Which of the following is (are) smaller than \(x\), if \(x=\frac{3}{17}\)?

\(\begin{array}{r r l} &\mbox{I.}&\frac{1}{x}\\ &\mbox{II.}&\frac{x+1}{x}\\ &\mbox{III.}&\frac{x+3}{x-3}\\ \end{array}\)

(A) I only
(B) III only
(C) I and II only
(D) II and III only
(E) I, II, and III

For the final step in a calculation, Steven accidentally multiplied by \(1000\) instead of dividing by \(10000\). What should he do to his answer to correct it?

(A) Divide it by \(10000000 \).
(B) Divide it by \(1000 \).
(C) Multiply it by \(1000 \).
(D) Multiply it by \(10000 \).
(E) Multiply it by \(10000000 \).

Wendy ate \(\frac{1}{8}\) of a pizza and Mark ate \(\frac{1}{7}\) of what was left. What fraction of the pizza is still uneaten?

(A) \(\ \ -\frac{6}{7}\)

(B) \(\ \ 0\)

(C) \(\ \ \frac{41}{56}\)

(D) \(\ \ \frac{3}{4}\)

(E) \(\ \ \frac{7}{8}\)

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