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

Step-by-step 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