Math

QuestionWhat is the decimal equivalent of 163\frac{16}{3}? A. 5.35.\overline{3} B. 5.3 C. 16.3 D. 0.1875

Studdy Solution

STEP 1

Assumptions1. The fraction given is 163\frac{16}{3}

STEP 2

To find the decimal equivalent of a fraction, we simply divide the numerator by the denominator.
Decimalequivalent=umeratorDenominatorDecimal\, equivalent = \frac{umerator}{Denominator}

STEP 3

Now, plug in the given values for the numerator and denominator to calculate the decimal equivalent.
Decimalequivalent=163Decimal\, equivalent = \frac{16}{3}

STEP 4

Perform the division to find the decimal equivalent.
Decimalequivalent=163=.333333333...Decimal\, equivalent = \frac{16}{3} =.333333333...The decimal equivalent of 163\frac{16}{3} is a repeating decimal,.333333333..., which can also be written as .3 . \overline{3}.
So, the correct answer is A. .3 . \overline{3}.

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