Math

QuestionFind the decimal form of 7099\frac{70}{99}. Choose the correct option: A. 0.700 . \overline{70} B. 70.7070 . \overline{70} C. 99.7099 . \overline{70} D. 0.70

Studdy Solution

STEP 1

Assumptions1. We are asked to find a decimal representation of the fraction 7099\frac{70}{99}. . The decimal representation can be either a terminating decimal or a repeating decimal.

STEP 2

To find the decimal representation of the fraction, we perform the division operation.
7099=70÷99\frac{70}{99} =70 \div99

STEP 3

Perform the division operation.
7099=0.7070707070...\frac{70}{99} =0.7070707070...

STEP 4

We observe that after the decimal point, the digits '70' are repeating. So, we can express this as a repeating decimal.
7099=0.70\frac{70}{99} =0 . \overline{70}So, the correct representation is A. 0.700 . \overline{70}.

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