Question

Which is –3.2 written in the form a/b?

A. -32/100
B. -5/16
C. -3/2
D. -16/5

Answer 1

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Answer:

D. -16/5

Explanation:

-3.2 = -32/10 = -16/5 . . . . matches choice D

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More detail

Any finite decimal can be converted to a fraction by considering the place value of the digits.

3.2 = 3×1 + 2×(1/10)

= 3 + 2/10 = (30 +2)/10 = 32/10

Then common factors can be cancelled from numerator and denominator.

32/10 = (2·16)/(2·5) = 16/5

The negative sign can be applied as required.

-3.2 = -(3.2) = -(16/5) = -16/5