What decimal is equivalent to [tex]$\frac{3}{4}$[/tex]?
A. 0.25
B. 0.34
C. 0.75
D. 1.33
Answer (2)
Convert the fraction to a decimal by dividing the numerator by the denominator.
Perform the division: 3 ÷ 4 = 0.75 .
Compare the result to the given options.
The decimal equivalent to 4 3 is 0.75 .
Explanation
Understanding the Problem We are asked to find the decimal that is equivalent to the fraction 4 3 . This means we need to divide 3 by 4.
Converting Fraction to Decimal To convert the fraction 4 3 to a decimal, we perform the division 3 ÷ 4 .
Performing the Division When we divide 3 by 4, the result is 0.75.
Comparing with Options Now, we compare the result, 0.75, to the given options: A) 0.25 B) 0.34 C) 0.75 D) 1.33 Option C matches our calculated decimal value.
Final Answer Therefore, the decimal equivalent to 4 3 is 0.75 .
Examples
Understanding fractions and their decimal equivalents is crucial in everyday situations. For instance, when splitting a bill with friends, you might need to calculate 4 3 of the total amount to determine each person's share. If the bill is $20, then 4 3 of $20 is calculated as 0.75 × 20 = $15 . This ensures fair distribution of costs.
The decimal equivalent of the fraction 4 3 is 0.75 . This is determined by dividing 3 by 4, resulting in 0.75 , which matches option C in the multiple-choice list. Hence, the correct answer is 0.75 .
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