Answer :
To find which expression is equivalent to the fraction [tex]\(\frac{24}{17}\)[/tex], let's look at each of the options provided:
A. [tex]\(24 + 17\)[/tex]: This option represents the sum of 24 and 17. It results in 41, which is not equivalent to a fraction or division expression like [tex]\(\frac{24}{17}\)[/tex].
B. [tex]\(17 \div 24\)[/tex]: This option is the division of 17 by 24, which gives a different fraction [tex]\(\frac{17}{24}\)[/tex]. This is not the same as [tex]\(\frac{24}{17}\)[/tex].
C. [tex]\(24 \div 17\)[/tex]: This option represents the division of 24 by 17, which is exactly how the fraction [tex]\(\frac{24}{17}\)[/tex] is written. This is equivalent to the fraction given.
D. [tex]\(24 \cdot 17\)[/tex]: This represents the multiplication of 24 and 17, resulting in a product of 408, which is not related to the division [tex]\(\frac{24}{17}\)[/tex].
E. 24.17: This is a decimal number and not related to the fraction [tex]\(\frac{24}{17}\)[/tex].
F. [tex]\(17 - 24\)[/tex]: This calculates the subtraction of 24 from 17, resulting in -7, which is not equivalent to our fraction expression.
The correct choice is option C, [tex]\(24 \div 17\)[/tex], which is equivalent to the fraction [tex]\(\frac{24}{17}\)[/tex]. The result of this division is approximately 1.411764705882353.
A. [tex]\(24 + 17\)[/tex]: This option represents the sum of 24 and 17. It results in 41, which is not equivalent to a fraction or division expression like [tex]\(\frac{24}{17}\)[/tex].
B. [tex]\(17 \div 24\)[/tex]: This option is the division of 17 by 24, which gives a different fraction [tex]\(\frac{17}{24}\)[/tex]. This is not the same as [tex]\(\frac{24}{17}\)[/tex].
C. [tex]\(24 \div 17\)[/tex]: This option represents the division of 24 by 17, which is exactly how the fraction [tex]\(\frac{24}{17}\)[/tex] is written. This is equivalent to the fraction given.
D. [tex]\(24 \cdot 17\)[/tex]: This represents the multiplication of 24 and 17, resulting in a product of 408, which is not related to the division [tex]\(\frac{24}{17}\)[/tex].
E. 24.17: This is a decimal number and not related to the fraction [tex]\(\frac{24}{17}\)[/tex].
F. [tex]\(17 - 24\)[/tex]: This calculates the subtraction of 24 from 17, resulting in -7, which is not equivalent to our fraction expression.
The correct choice is option C, [tex]\(24 \div 17\)[/tex], which is equivalent to the fraction [tex]\(\frac{24}{17}\)[/tex]. The result of this division is approximately 1.411764705882353.
