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QUESTION IMAGE

write 92% as a fraction in simplest form.

Question

write 92% as a fraction in simplest form.

Explanation:

Step1: Convert percentage to fraction

A percentage is a fraction with denominator 100. So, \( 92\%=\frac{92}{100} \).

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 92 and 100. The factors of 92 are 1, 2, 4, 23, 46, 92. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The GCD of 92 and 100 is 4. Divide both the numerator and the denominator by 4: \( \frac{92\div4}{100\div4}=\frac{23}{25} \).

Answer:

\(\frac{23}{25}\)