The fraction x/24 is equal to 0.75. What is the value of x?
The value of x is 18.
Given the equation x/24 = 0.75, you can solve for x by multiplying both sides of the equation by 24. This gives you x = 0.75 * 24, which simplifies to x = 18.
If x were 3, the fraction would be 3/24, which simplifies to 0.125. This does not equal 0.75, so A) is incorrect.
If x were 6, the fraction would be 6/24, which simplifies to 0.25. This does not equal 0.75, so B) is incorrect.
If x were 9, the fraction would be 9/24, which simplifies to 0.375. This does not equal 0.75, so C) is incorrect.
If x is 18, the fraction is 18/24, which simplifies to 0.75. Therefore, D) is the correct answer.
Given the fraction x/24 = 0.75, the value of x that makes this equation true is 18. All other choices yield fractions that are less than 0.75, demonstrating that 18 is the only correct solution to this problem. This example illustrates the importance of performing the correct mathematical operations to solve for unknown variables in equations.
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