(A) Let $x = 3.\overline{5} = 3.555...$ (Equation $1$).Multiply both sides by $10$:$10x = 35.555...$ (Equation $2$).Subtract Equation $1$ from Equatio

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(A) Let $x = 3.\overline{5} = 3.555...$ (Equation $1$).Multiply both sides by $10$:$10x = 35.555...$ (Equation $2$).Subtract Equation $1$ from Equation $2$:$10x - x = 35.555... - 3.555...$$9x = 32$.Therefore, $x = \frac{32}{9}$.

Class 9 Mathematics Number Systems Real Numbers and their Decimal Expansions

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Express $3.\overline{5}$ in the $\frac{p}{q}$ form.

A
$\frac{32}{9}$
B
$\frac{35}{9}$
C
$\frac{35}{10}$
D
$\frac{32}{10}$

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Express $3.\overline{5}$ in the $\frac{p}{q}$ form.

Similar Questions

Find three rational numbers between $0.1$ and $0.11$.

Fill in the blank to make the following statement true:The square root of $121$ is ..........

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :$0.1\overline{34}$

Visualize the representation of $5.3\overline{7}$ on the number line up to $5$ decimal places,that is,up to $5.37777$.

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Fill in the blank to make the following statement true:
The square root of $121$ is ..........

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.1\overline{34}$

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
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