Basic Math Examples

\frac{6}{c} = 3

$\frac{6}{c} = 3$

Step 1

Find the LCD of the terms in the equation.

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Step 1.1

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

c, 1

$c, 1$

Step 1.2

The LCM of one and any expression is the expression.

c

$c$

c

$c$

Step 2

Multiply each term in

\frac{6}{c} = 3

$\frac{6}{c} = 3$ by

c

$c$ to eliminate the fractions.

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Step 2.1

Multiply each term in

\frac{6}{c} = 3

$\frac{6}{c} = 3$ by

c

$c$ .

\frac{6}{c} c = 3 c

$\frac{6}{c} c = 3 c$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

c

$c$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6}{c} c = 3 c$

Step 2.2.1.2

Rewrite the expression.

$6 = 3 c$

Step 3

Solve the equation.

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Step 3.1

Rewrite the equation as

$3 c = 6$ .

$3 c = 6$

Step 3.2

Divide each term in

$3 c = 6$ by

$3$ and simplify.

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Step 3.2.1

Divide each term in

$3 c = 6$ by

$3$ .

$\frac{3 c}{3} = \frac{6}{3}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of

$3$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{3 c}{3} = \frac{6}{3}$

Step 3.2.2.1.2

Divide

$c$ by

$1$ .

$c = \frac{6}{3}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide

$6$ by

$3$ .

$c = 2$