Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Like

Report

In $13-22,$ write each decimal as a common fraction.$$0 . \overline{36}$$

$\frac{4}{11}$

Algebra

Chapter 2

THE RATIONAL NUMBERS

Section 1

Rational Numbers

Fractions and Mixed Numbers

Decimals

Equations and Inequalities

Missouri State University

Oregon State University

McMaster University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

01:11

01:05

In $13-22,$ write each dec…

01:17

00:30

01:20

00:25

01:57

01:53

02:19

05:25

Write each repeating decim…

take the decimal 0.36 where this three sex repeats and turn it into a fraction. And we do that by getting, um by multiplying by 100 so that we encompass the total of the repeating decimals. So also axe equal to this. And then I say, ah 100 x is equal to So if I multiply by 100 that means I move the decimal 1000.2 to the right. And so now I'm encompassing the entirety of the repeating decimals. So I get 36 point 36 in this 36 Repeat. Now I want to subtract out that 360.3 sex. So all I have to do then is subtract X. And when I subtract X, I'm subtracting 0.36 So now you see everything to the right of the decimal. When I subtract, will disappear, so that will become zero. And then I end up with 36. And when I subtract this, I end up with 99 X now to solve for X, I get 99 divided on both sides. And so I get X is equal to 36 over 99. What we see here that both of these air divisible by nine. So I get a four in the numerator and 11 in the denominator

View More Answers From This Book

Find Another Textbook

In mathematics, the absolute value or modulus |x| of a real number x is its …

In $13-22,$ write each decimal as a common fraction.$$0.1 \overline{…

In $13-22,$ write each decimal as a common fraction.$$0 . \overline{…

In $13-22,$ write each decimal as a common fraction.$$0.8 \overline{…

In $13-22,$ write each decimal as a common fraction.$$0.125$$

In $13-22,$ write each decimal as a common fraction.$$0.15 \overline…

In $13-22,$ write each decimal as a common fraction.$$0.5 \overline{…

Write each repeating decimal as a fraction.$0 . \overline{36}$

00:53

In $3-20$ , perform the indicated additions or subtractions and write the re…

02:30

Find an example to show that the convexity of $S$ is necessary in Exercise $…

00:41

In $3-12,$ write the sum or difference of the given polynomials in simplest …

03:04

A theater owner knows that to make a profit as well as to comply with fire r…

02:04

Solve for the variable and check. Each solution is an integer.$2(b-3)+3(…

04:15

Let $A$ be an $n \times n$ symmetric matrix, let $M$ and $m$ denote the maxi…

02:22

Ashley said that $\frac{(a+2)(a-1)}{(a+3)(a-1)}=\frac{a+2}{a+3}$ for all val…

02:40

Write each rational expression in simplest form and list the values of the v…

02:32

In $15-26,$ solve each inequality and write the solution set if the variable…

04:26

Write the solution set of each inequality if x is an element of the set of i…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.