Problem

41 point Which fraction is equivalent to 0.24 ? a. $\frac{24}{10}$ c. $\frac{13}{50}$ b. $\frac{6}{15}$ d. $\frac{6}{25}$

Solution

Step 1 :The question is asking for the fraction equivalent to 0.24. To find this, we can convert the decimal to a fraction. The decimal 0.24 can be written as \(\frac{24}{100}\). However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).

Step 2 :Let's find the GCD of the numerator and the denominator. The numerator is 24 and the denominator is 100. The GCD of 24 and 100 is 4.

Step 3 :Now, let's simplify the fraction by dividing both the numerator and the denominator by the GCD. The simplified numerator is \(\frac{24}{4} = 6\) and the simplified denominator is \(\frac{100}{4} = 25\).

Step 4 :So, the simplified fraction equivalent to 0.24 is \(\frac{6}{25}\). Comparing this with the options given in the question, it matches with option d. Therefore, option d is the correct answer.

Step 5 :Final Answer: The fraction equivalent to 0.24 is \(\boxed{\frac{6}{25}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/20651/

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