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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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