QQuestionMathematics
QuestionMathematics
Which fraction is approximately equal to 0.833?
A. 5 / 6
B. 4 / 5
C. 3 / 4
D. 2 / 3
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Answer
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Step 1:: Identify the target fraction that is approximately equal to 0.833.
Step 2:: Convert the decimal number to a simple fraction.
0.833 = \frac{833}{1000}
To convert a decimal number to a fraction, multiply both the numerator and the denominator by a power of ten that will make the decimal part a whole number. In this case, we can multiply by 1000 since 0.833 has three decimal places. So, 0.833 can be expressed as a fraction:
Step 3:: Simplify the fraction.
\frac{833}{1000} \div \frac{11}{11} = \frac{75}{100}
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 833 and 1000 is 11. Dividing both the numerator and the denominator by the GCD will give us the simplified fraction.
Step 4:: Compare the simplified fraction to the given options.
Now, we can compare the simplified fraction to the given options to find the best approximation. A. 5 / 6 ≈ 0.8333 B. 4 / 5 = 0.8 C. 3 / 4 = 0.75 D. 2 / 3 ≈ 0.6667
Step 5:: Select the closest approximation.
Option A, 5 / 6, is the closest approximation to 0.833.
Final Answer
The fraction approximately equal to 0.833 is A. 5 / 6.
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