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The Mathematics Section

Sometimes, however, actually working the problem can be helpful, as the next

sample demonstrates.

47. The fastest method to solve 7 ⁄48 # 6 ⁄7 is to

A. invert the second fraction and then multiply.

B. multiply each column across and then reduce to lowest terms.

C. find the common denominator and then multiply across.

D. divide 7 into the numerator and denominator, divide 6 into the

numerator and denominator, and then multiply across.

E. reduce the first fraction to lowest terms and then multiply across.

In this problem, the way to determine the fastest procedure may be to actually

work the problem as you would if you were working toward an answer. Then see

whether that procedure is listed among the choices. You should then compare it to

the other methods listed. Is one of the other correct methods faster than the one

you used? If so, select the fastest.

These types of problems are not constructed to test your knowledge of obscure

ways to solve mathematical equations. Rather, they test your knowledge of common

procedures used in standard mathematical equations. Thus, the fastest way to

solve this sample problem is to first divide 7 into the numerator and denominator:

1

7 6

48

# =

7

1

Then divide 6 into the numerator and denominator:

1 1

7 6

# =

48 7

8 1

Then multiply across:

1 1

7 6

# =

48 7 8 1

8 1

The correct answer is D.

48. Which equation can be used to find the perimeter, P, of a rectangle that has

a length of 18 feet and a width of 15 feet?

A. P= ^18h^15h

B. P= 18+

15

C. P = 2^15h^18h

D. P = ^2h15 + 18

E. P = 2^15 + 18h

The correct answer is E. The perimeter of a rectangle can be found by adding the

length to the width and doubling this sum. P = 2^15 + 18h.

69

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