To find out what percent of 75 is 10, you can use the concept of percentages. Here's a step-by-step solution:
1. Understand the problem: You need to find what percentage 10 is of 75.
2. Write the problem in fraction form: To find what percent [tex]\( p \)[/tex] a number [tex]\( a \)[/tex] is of another number [tex]\( b \)[/tex], you can use the formula:
[tex]\[
p = \left( \frac{a}{b} \right) \times 100\%
\][/tex]
Here, [tex]\( a = 10 \)[/tex] and [tex]\( b = 75 \)[/tex].
3. Plug the values into the formula:
[tex]\[
p = \left( \frac{10}{75} \right) \times 100\%
\][/tex]
4. Calculate the value:
[tex]\[
p = \left( \frac{10}{75} \right) \times 100
\][/tex]
This simplifies to:
[tex]\[
p = \left( \frac{10}{75} \right) \times 100 \approx 0.13333333333333333 \times 100
\][/tex]
[tex]\[
p \approx 13.333333333333334\%
\][/tex]
So, 10 is approximately 13.333333333333334% of 75.
Among the given choices, the one that correctly represents the fraction needed to calculate the percentage is:
[tex]\[ r = \frac{10}{75} \][/tex]
