QuestionConvert 0.023 to a fraction in simplest form. Choices: $\frac{23}{10}$ , $\frac{23}{100}$ , $\frac{23}{1000}$ .

Studdy Solution

STEP 1

Assumptions1. The decimal to be converted to a fraction is0.023. The fraction needs to be reduced to its simplest terms

STEP 2

First, we need to convert the decimal to a fraction. We do this by placing the decimal over1 followed by as many zeros as there are digits after the decimal point.
$0.023 = \frac{23}{1000}$

STEP 3

Now, we need to reduce this fraction to its simplest terms. We do this by finding the greatest common divisor (GCD) of the numerator and the denominator, and then dividing both the numerator and the denominator by this GCD.
The GCD of23 and1000 is1, since23 is a prime number and does not divide1000.

STEP 4

Divide the numerator and the denominator by the GCD.
$\frac{23}{1000} = \frac{23/1}{1000/1} = \frac{23}{1000}$ So,0.023 as a fraction in simplest terms is $\frac{23}{1000}$ .

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