Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

How do you write $0.08\overline{3}$ as a fraction? $\newline$ Choices: $\newline$ (A) $\frac{1}{12}$ $\newline$ (B) $\frac{1}{4}$ $\newline$ (C) $\frac{1}{6}$ $\newline$ (D) $\frac{1}{8}$

View step-by-step help

View step-by-step help

Convert between repeating decimals and fractions

Full solution

Q. How do you write

0.08\overline{3}

as a fraction?

\newline

Choices:

\newline

(A)

\frac{1}{12}

\newline

(B)

\frac{1}{4}

\newline

(C)

\frac{1}{6}

\newline

(D)

\frac{1}{8}

Identify Repeating Decimal: Step $1$ : Identify the repeating decimal. $0.08\{3\}$ means $0.0833333\ldots$ where $3$ is repeating.
Shift Decimal Point: Step $2$ : Let $x = 0.0833333\ldots$ Multiply $x$ by $1000$ to shift the decimal point: $1000x = 833.3333\ldots$
Multiply by $10$ : Step $3$ : Also, multiply $x$ by $10$ : $10x = 0.833333\ldots$
Subtract Equations: Step $4$ : Subtract the equation in Step $3$ from the equation in Step $2$ to eliminate the repeating part. $1000x - 10x = 833.3333... - 0.833333...$ This gives $990x = 832.5$

More problems from Convert between repeating decimals and fractions

Question

\newline

(\frac{1}{4}) − (\frac{3}{4}) =

Posted 2 months ago

Question

\frac{1}{4} \times \left(-\frac{1}{2}\right) =

Posted 3 months ago

Question

(7+7)\cdot(7+\frac {1}{7})=

Posted 3 months ago

Question

\newline

\frac{2}{5} \div \frac{1}{6}=

Posted 2 months ago

Question

\newline

\frac{12+6}{3}=

Posted 2 months ago

Question

\frac{4}{3}

Posted 16 days ago

Question

21.452

0.62

Posted 1 month ago

Question

Grace examines two different size bottles of the same laundry detergent. The price for the

100

ounce bottle is

\$9.99

and the price for the

150

-ounce bottle is

\$12.99

. How much money will Grace save per

100

ounces if she purchases the larger bottle?

\newline

1

\newline

\$0.01

\newline

\$1.33

\newline

\$2.00

\newline

\$8.66

Posted 3 months ago

Question

Genovia is a city-state with approximately

50,000

citizens. In a recent newspaper poll of the citizens of Genovia,

\frac{3}{4}

of the poll respondents were in favor of establishing a democratic government. If the citizens polled are representative of all citizens of Genovia, approximately how many citizens are in favor of establishing a democratic government?

\newline

1

\newline

12,500

\newline

30,000

\newline

37,500

\newline

45,000

Posted 2 months ago

Question

What is the slope of the line through

(-10,1)

(0,-4)

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

Posted 3 months ago