To write the ratio [tex]\(9: 4\)[/tex] in the form [tex]\(n: 1\)[/tex], we need to express how many times the first number (the numerator) is of the second number (the denominator).
Step-by-step solution:
1. Understand the Ratio: The ratio [tex]\(9: 4\)[/tex] compares two quantities, 9 and 4. We want to adjust this ratio to the form where the second quantity is 1.
2. Determine the Conversion: To convert the ratio [tex]\(9: 4\)[/tex] to the form [tex]\(n: 1\)[/tex], we need to divide the first number by the second number.
3. Calculate the Ratio:
[tex]\[
n = \frac{9}{4}
\][/tex]
4. Simplify the Division: Perform the division:
[tex]\[
\frac{9}{4} = 2.25
\][/tex]
5. Write the Final Ratio: The result of the division tells us how many times 9 is of 4. Hence, the ratio [tex]\(9: 4\)[/tex] can be written as [tex]\(2.25: 1\)[/tex].
Therefore, the ratio [tex]\(9: 4\)[/tex] in the form [tex]\(n: 1\)[/tex] is [tex]\(2.25: 1\)[/tex].
