High School

Which expression is equivalent to the fraction below?



[tex]\frac{24}{17}[/tex]



A. [tex]24 \cdot 17[/tex]

B. [tex]17 - 24[/tex]

C. [tex]24 \div 17[/tex]

D. [tex]24 + 17[/tex]

E. [tex]17 \div 24[/tex]

F. 24.17

Answer :

We want to express the fraction
$$
\frac{24}{17}
$$
in another form. Let’s consider each option:

1. Option A: $$24 \cdot 17 = 408$$
This is the product of 24 and 17, which does not equal $\frac{24}{17}$.

2. Option B: $$17 - 24 = -7$$
This is the result of subtracting 24 from 17, which is not equivalent to $\frac{24}{17}$.

3. Option C: $$24 \div 17$$
Division is the same as writing a fraction. Thus, $$24 \div 17 = \frac{24}{17},$$
which is exactly the given fraction.

4. Option D: $$24 + 17 = 41$$
This addition does not match the fraction $\frac{24}{17}$.

5. Option E: $$17 \div 24$$
This division gives $$\frac{17}{24},$$ which is different from $\frac{24}{17}$.

6. Option F: $$24.17$$
This is a decimal number, not a fraction equivalent to $\frac{24}{17}$.

Since only Option C gives us the expression that is equivalent to
$$
\frac{24}{17},
$$
the correct answer is Option C.