Answer :
Certainly! To express a proportion as a sentence, we need to understand how the numbers are related to each other.
The given proportion is:
[tex]\[
\frac{66}{11} = \frac{72}{12}
\][/tex]
This equation tells us that the fraction [tex]\( \frac{66}{11} \)[/tex] is equal to the fraction [tex]\( \frac{72}{12} \)[/tex]. To write this proportion as a sentence in words, we can look at the structure of the given fractions. Each fraction represents a pair of numbers, and we want to express the relationship between them.
Let's break down the options provided:
1. 66 is to 11 as 72 is to 12: This matches the fractions directly. It compares the first fraction's numerator to its denominator, and then does the same for the second fraction. This option accurately describes the relationship in the given proportion.
2. None of these: This would be correct only if none of the options accurately described the relationship, but we have identified one that does.
3. 66 is to 12 as 72 is to 11: This option incorrectly matches the numbers. It swaps the second and third numbers in the order, which doesn't represent the given proportion.
4. 66 is to 11 as 12 is to 72: This implies a different relationship by reversing the roles of 12 and 72. The original proportion does not reflect this.
5. 66 is to 72 as 11 is to 12: This option mixes up the order entirely, suggesting a different set of comparisons than the ones presented in the original proportion.
Given the analysis, the correct representation in sentence form of the given proportion is:
66 is to 11 as 72 is to 12
This option correctly and clearly describes the relationship shown in the proportion.
The given proportion is:
[tex]\[
\frac{66}{11} = \frac{72}{12}
\][/tex]
This equation tells us that the fraction [tex]\( \frac{66}{11} \)[/tex] is equal to the fraction [tex]\( \frac{72}{12} \)[/tex]. To write this proportion as a sentence in words, we can look at the structure of the given fractions. Each fraction represents a pair of numbers, and we want to express the relationship between them.
Let's break down the options provided:
1. 66 is to 11 as 72 is to 12: This matches the fractions directly. It compares the first fraction's numerator to its denominator, and then does the same for the second fraction. This option accurately describes the relationship in the given proportion.
2. None of these: This would be correct only if none of the options accurately described the relationship, but we have identified one that does.
3. 66 is to 12 as 72 is to 11: This option incorrectly matches the numbers. It swaps the second and third numbers in the order, which doesn't represent the given proportion.
4. 66 is to 11 as 12 is to 72: This implies a different relationship by reversing the roles of 12 and 72. The original proportion does not reflect this.
5. 66 is to 72 as 11 is to 12: This option mixes up the order entirely, suggesting a different set of comparisons than the ones presented in the original proportion.
Given the analysis, the correct representation in sentence form of the given proportion is:
66 is to 11 as 72 is to 12
This option correctly and clearly describes the relationship shown in the proportion.
