Question

Write 12.4% as a decimal and a simplified fraction.

O 1.24 and 124
1,000
31
O 0.124 and 250
O 1.24 and 31
250
O 0.124 and
124
1,000

Answer 1

Answers:

decimal form = 0.124

simplified fraction = 31/250

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Step-by-step explanation:

To convert from percent to decimal, we move the decimal point 2 spots to the left.

12.4% converts to the decimal form 0.124

Optionally you could use your calculator to say 12.4/100 = 0.124

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To convert from a terminating decimal to a fraction, we write the decimal digits over some power of 10. In this case, we write the "124" over 10^3 aka 1000. We write it over 1000 since the '4' is in the thousandths place value. Then reduce as much as possible.

124/1000 = (31*4)/(250*4) = 31/250 is the simplified fraction form

Use your calculator to see that 31/250 = 0.124 to confirm the answer.