Write the following in decimal form and state what kind of decimal expansion each has:
$\frac{5}{13}$
$\frac{5}{13}$
(N/A) To find the decimal expansion of $\frac{5}{13}$,we perform long division of $5$ by $13$:
$5 \div 13 = 0.384615384615...$
Since the remainder repeats after a certain number of steps,the quotient also repeats.
Thus,$\frac{5}{13} = 0.\overline{384615}$.
The decimal form of $\frac{5}{13}$ is a non-terminating recurring decimal.
$5 \div 13 = 0.384615384615...$
Since the remainder repeats after a certain number of steps,the quotient also repeats.
Thus,$\frac{5}{13} = 0.\overline{384615}$.
The decimal form of $\frac{5}{13}$ is a non-terminating recurring decimal.
Explore More
Similar Questions
After rationalizing the denominator of $\frac{7}{3 \sqrt{3}-2 \sqrt{2}},$ we get the denominator as
Medium
View SolutionIs $\sqrt{8+15}$ a rational number or an irrational number?
Easy
View SolutionExpress the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.2$
$0.2$
Medium
View SolutionExpress the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0 .$
$0 . \overline{35}$
$0 . \overline{35}$
Medium
View SolutionIf $2^{x-2} \cdot 3^{2x-6} = 36$,then find $x$.
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo