Question

4.05 repeating as a mixed number

Answer 1

4.05 with (05) repeating if converted to a fraction or mixed number will be

$4\frac{5}{99}$.

As per the question statement, we are provided with a repeating decimal, 4.05 with (05) repeating.

We are required to convert the repeating decimal into a mixed number.

To solve this question, we need to know the formula to convert any repeating decimal number to a fraction which goes as:

$\frac{[(DN*F)-NRF]}{D}$

Where, DN denoted the concerned Decimal Number,

(F = 10) if one repeating is number, 100 if two repeating numbers, 1000 if three repeating numbers and so on.

NRP denotes the Non-repeating part of decimal number.

And, D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, and so on, similar to F.

Then, using our given data in the above formula, we get

4.05 with (05) repeating = $\frac{(4.05*100)-4}{99}=\frac{(405-4)}{99}=\frac{401}{99}=4\frac{5}{99}$.

• Repeating Decimal: A repeating decimal, also called as Recurring Decimal, is a decimal number that consists of digits repeating after a fixed interval after the decimal point.

To learn more about Repeating Decimal, click on the link below.

brainly.com/question/820308

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