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question 8 not yet answered arked out of 0 flag uestion write 0.28 as a…

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question 8
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uestion
write 0.28 as a fraction in simplest form.
select one:
a. \\(\frac{7}{25}\\)
b. \\(\frac{1}{5}\\)
c. \\(\frac{99}{28}\\)
d. \\(\frac{28}{99}\\)

Explanation:

Step1: Convert decimal to fraction

0.28 can be written as $\frac{28}{100}$ because the decimal has two decimal places, so we put 28 over 100.

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 28 and 100. The factors of 28 are 1, 2, 4, 7, 14, 28. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The GCD of 28 and 100 is 4. Divide both the numerator and the denominator by 4: $\frac{28\div4}{100\div4}=\frac{7}{25}$.

Answer:

a. $\frac{7}{25}$