Calculate the sum: $0. \overline{3} + 0.4 \overline{7}$
(N/A) To add $0. \overline{3}$ and $0.4 \overline{7}$,first convert them into fractions.
$0. \overline{3} = \frac{3}{9} = \frac{1}{3}$
$0.4 \overline{7} = \frac{47 - 4}{90} = \frac{43}{90}$
Now,add the two fractions:
$\frac{1}{3} + \frac{43}{90} = \frac{30}{90} + \frac{43}{90} = \frac{73}{90}$
Converting $\frac{73}{90}$ back to decimal form:
$73 \div 90 = 0.8111... = 0.8 \overline{1}$
$0. \overline{3} = \frac{3}{9} = \frac{1}{3}$
$0.4 \overline{7} = \frac{47 - 4}{90} = \frac{43}{90}$
Now,add the two fractions:
$\frac{1}{3} + \frac{43}{90} = \frac{30}{90} + \frac{43}{90} = \frac{73}{90}$
Converting $\frac{73}{90}$ back to decimal form:
$73 \div 90 = 0.8111... = 0.8 \overline{1}$
Explore More
Similar Questions
If $\sqrt{2} = 1.4142$,then $\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}$ is equal to
Difficult
View SolutionWrite the following in decimal form and state what kind of decimal expansion each has:
$\frac{121}{400}$
$\frac{121}{400}$
Medium
View SolutionFind the value of $64^{\frac{2}{3}}$.
Easy
View SolutionFill in the blanks to make the following statement true: $\sqrt{7}$ is a/an $\ldots \ldots \ldots$ number.
Easy
View SolutionRepresent the following numbers on the number line:
$7, 7.2, \frac{-3}{2}, \frac{-12}{5}$
$7, 7.2, \frac{-3}{2}, \frac{-12}{5}$
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