Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

current skill $ convert 64% to a simplified fraction. skill code: 208023

Question

current skill $ convert 64% to a simplified fraction. skill code: 208023

Explanation:

Step1: Convert percentage to fraction

To convert a percentage to a fraction, we write the percentage as a fraction with a denominator of 100. So, \( 64\%=\frac{64}{100} \).

Step2: Simplify the fraction

We find the greatest common divisor (GCD) of 64 and 100. The factors of 64 are \( 1, 2, 4, 8, 16, 32, 64 \) and the factors of 100 are \( 1, 2, 4, 5, 10, 20, 25, 50, 100 \). The GCD of 64 and 100 is 4. We divide both the numerator and the denominator by 4: \( \frac{64\div4}{100\div4}=\frac{16}{25} \).

Answer:

\(\frac{16}{25}\)