Math

QuestionFind the decimal form of 19\frac{1}{9}.

Studdy Solution

STEP 1

Assumptions1. We are asked to find a decimal representation of 19\frac{1}{9}. . The division operation is defined as the number of times one number is contained within another.

STEP 2

To find the decimal representation of a fraction, we perform the division operation. In this case, we divide1 by9.
19=1÷9\frac{1}{9} =1 \div9

STEP 3

Perform the division operation.
1÷9=0.1111111111...1 \div9 =0.1111111111...The result is a repeating decimal, where the digit1 repeats indefinitely.

STEP 4

For practical purposes, we often round the decimal to a certain number of places. In this case, let's round to four decimal places.
0.1111111111...0.11110.1111111111... \approx0.1111So, the decimal representation of 19\frac{1}{9}, rounded to four decimal places, is0.1111.

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