To express the number 318 as a fraction with the numerator 15, we need to find the appropriate denominator. Here are the detailed steps for determining the fraction:
1. Understand the Problem:
- We are given a number, 318, and we need to express this number as a fraction with the numerator 15.
2. Set Up the Fraction Form:
- The fraction should be in the form of [tex]\( \frac{15}{x} = \frac{\text{numerator}}{\text{denominator}} \)[/tex].
- Here, we know the numerator is 15, and we need to find the corresponding denominator [tex]\( x \)[/tex].
3. Determine the Denominator:
- To find the denominator, we divide the given number (318) by the specified numerator (15):
[tex]\[
x = \frac{318}{15}
\][/tex]
4. Calculate the Denominator:
- Performing the division gives us:
[tex]\[
x = 21.2
\][/tex]
5. Form the Fraction:
- Therefore, the fraction with numerator 15 that represents the number 318 is:
[tex]\[
\frac{15}{21.2}
\][/tex]
6. Expressing as Integer Denominator:
- To make the fraction more conventional, we typically express it with an integer denominator. Hence, we approximate:
[tex]\[
\frac{15}{21}
\][/tex]
In conclusion, 318 can be expressed as the fraction [tex]\( \frac{15}{21} \)[/tex] when the numerator is 15.
