Answer :
To determine which expression is equivalent to the fraction [tex]\(\frac{24}{17}\)[/tex], let's look at what each option means in terms of calculation:
A. 17-24: This represents subtraction, resulting in -7.
B. [tex]\(17 \div 24\)[/tex]: This represents dividing 17 by 24.
C. 24+17: This represents addition, resulting in 41.
D. [tex]\(24 \div 17\)[/tex]: This represents dividing 24 by 17.
E. [tex]\(24 \cdot 17\)[/tex]: This represents multiplying 24 by 17, resulting in 408.
F. 24.17: This reads as a decimal, not related to the fraction operation.
The fraction [tex]\(\frac{24}{17}\)[/tex] implies division, where 24 is divided by 17. When you compute this division, you get approximately 1.411764705882353.
So, the expression that is equivalent to [tex]\(\frac{24}{17}\)[/tex] is option:
D. [tex]\(24 \div 17\)[/tex]
This option precisely represents the given fraction.
A. 17-24: This represents subtraction, resulting in -7.
B. [tex]\(17 \div 24\)[/tex]: This represents dividing 17 by 24.
C. 24+17: This represents addition, resulting in 41.
D. [tex]\(24 \div 17\)[/tex]: This represents dividing 24 by 17.
E. [tex]\(24 \cdot 17\)[/tex]: This represents multiplying 24 by 17, resulting in 408.
F. 24.17: This reads as a decimal, not related to the fraction operation.
The fraction [tex]\(\frac{24}{17}\)[/tex] implies division, where 24 is divided by 17. When you compute this division, you get approximately 1.411764705882353.
So, the expression that is equivalent to [tex]\(\frac{24}{17}\)[/tex] is option:
D. [tex]\(24 \div 17\)[/tex]
This option precisely represents the given fraction.