Basic Math Examples

5 \div b = 35

$5 \div b = 35$

Step 1

Multiply both sides by

b

$b$ .

5 \div b b = 35 b

$5 \div b b = 35 b$

Step 2

Simplify the left side.

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Step 2.1

Simplify

5 \div b b

$5 \div b b$ .

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Step 2.1.1

Rewrite the division as a fraction.

\frac{5}{b} b = 35 b

$\frac{5}{b} b = 35 b$

Step 2.1.2

Cancel the common factor of

b

$b$ .

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Step 2.1.2.1

Cancel the common factor.

\frac{5}{b} b = 35 b

$\frac{5}{b} b = 35 b$

Step 2.1.2.2

Rewrite the expression.

5 = 35 b

$5 = 35 b$

5 = 35 b

$5 = 35 b$

5 = 35 b

$5 = 35 b$

5 = 35 b

$5 = 35 b$

Step 3

Solve for

b

$b$ .

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Step 3.1

Rewrite the equation as

35 b = 5

$35 b = 5$ .

35 b = 5

$35 b = 5$

Step 3.2

Divide each term in

35 b = 5

$35 b = 5$ by

35

$35$ and simplify.

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Step 3.2.1

Divide each term in

35 b = 5

$35 b = 5$ by

35

$35$ .

\frac{35 b}{35} = \frac{5}{35}

$\frac{35 b}{35} = \frac{5}{35}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of

35

$35$ .

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Step 3.2.2.1.1

Cancel the common factor.

\frac{35 b}{35} = \frac{5}{35}

$\frac{35 b}{35} = \frac{5}{35}$

Step 3.2.2.1.2

Divide

b

$b$ by

1

$1$ .

b = \frac{5}{35}

$b = \frac{5}{35}$

b = \frac{5}{35}

$b = \frac{5}{35}$

b = \frac{5}{35}

$b = \frac{5}{35}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Cancel the common factor of

5

$5$ and

35

$35$ .

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Step 3.2.3.1.1

Factor

5

$5$ out of

5

$5$ .

b = \frac{5 (1)}{35}

$b = \frac{5 (1)}{35}$

Step 3.2.3.1.2

Cancel the common factors.

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Step 3.2.3.1.2.1

Factor

5

$5$ out of

35

$35$ .

b = \frac{5 \cdot 1}{5 \cdot 7}

$b = \frac{5 \cdot 1}{5 \cdot 7}$

Step 3.2.3.1.2.2

Cancel the common factor.

b = \frac{5 \cdot 1}{5 \cdot 7}

$b = \frac{5 \cdot 1}{5 \cdot 7}$

Step 3.2.3.1.2.3

Rewrite the expression.

b = \frac{1}{7}

$b = \frac{1}{7}$

b = \frac{1}{7}

$b = \frac{1}{7}$

b = \frac{1}{7}

$b = \frac{1}{7}$

b = \frac{1}{7}

$b = \frac{1}{7}$

b = \frac{1}{7}

$b = \frac{1}{7}$

b = \frac{1}{7}

$b = \frac{1}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

b = \frac{1}{7}

$b = \frac{1}{7}$

Decimal Form:

b = 0.\overline{142857}

$b = 0.\overline{142857}$

5 \div b = 35

$5 \div b = 35$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$