Finite Math Examples

$85 \div \frac{c}{4} = 99$

Step 1

Factor each term.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

$85 \frac{4}{c} = 99$

Step 1.2

Multiply $85 \frac{4}{c}$ .

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Step 1.2.1

Combine $85$ and $\frac{4}{c}$ .

$\frac{85 \cdot 4}{c} = 99$

Step 1.2.2

Multiply $85$ by $4$ .

$\frac{340}{c} = 99$

Step 2

Find the LCD of the terms in the equation.

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Step 2.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$c, 1$

Step 2.2

The LCM of one and any expression is the expression.

$c$

Step 3

Multiply each term in $\frac{340}{c} = 99$ by $c$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{340}{c} = 99$ by $c$ .

$\frac{340}{c} c = 99 c$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $c$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{340}{c} c = 99 c$

Step 3.2.1.2

Rewrite the expression.

$340 = 99 c$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $99 c = 340$ .

$99 c = 340$

Step 4.2

Divide each term in $99 c = 340$ by $99$ and simplify.

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Step 4.2.1

Divide each term in $99 c = 340$ by $99$ .

$\frac{99 c}{99} = \frac{340}{99}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $99$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{99 c}{99} = \frac{340}{99}$

Step 4.2.2.1.2

Divide $c$ by $1$ .

$c = \frac{340}{99}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$c = \frac{340}{99}$

Decimal Form:

$c = 3.\overline{43}$

Mixed Number Form:

$c = 3 \frac{43}{99}$