Basic Math Examples

\frac{18}{1} = \frac{108}{y}

$\frac{18}{1} = \frac{108}{y}$

Step 1

Rewrite the equation as

\frac{108}{y} = \frac{18}{1}

$\frac{108}{y} = \frac{18}{1}$ .

\frac{108}{y} = \frac{18}{1}

$\frac{108}{y} = \frac{18}{1}$

Step 2

Divide

18

$18$ by

1

$1$ .

\frac{108}{y} = 18

$\frac{108}{y} = 18$

Step 3

Find the LCD of the terms in the equation.

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Step 3.1

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

y, 1

$y, 1$

Step 3.2

The LCM of one and any expression is the expression.

y

$y$

y

$y$

Step 4

Multiply each term in

\frac{108}{y} = 18

$\frac{108}{y} = 18$ by

y

$y$ to eliminate the fractions.

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Step 4.1

Multiply each term in

\frac{108}{y} = 18

$\frac{108}{y} = 18$ by

y

$y$ .

\frac{108}{y} y = 18 y

$\frac{108}{y} y = 18 y$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of

y

$y$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{108}{y} y = 18 y$

Step 4.2.1.2

Rewrite the expression.

$108 = 18 y$

Step 5

Solve the equation.

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Step 5.1

Rewrite the equation as

$18 y = 108$ .

$18 y = 108$

Step 5.2

Divide each term in

$18 y = 108$ by

$18$ and simplify.

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Step 5.2.1

Divide each term in

$18 y = 108$ by

$18$ .

$\frac{18 y}{18} = \frac{108}{18}$

Step 5.2.2

Simplify the left side.

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Step 5.2.2.1

Cancel the common factor of

$18$ .

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Step 5.2.2.1.1

Cancel the common factor.

$\frac{18 y}{18} = \frac{108}{18}$

Step 5.2.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{108}{18}$

Step 5.2.3

Simplify the right side.

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Step 5.2.3.1

Divide

$108$ by

$18$ .

$y = 6$