Basic Math Examples

$9 - \frac{1}{4 j} = 5$

Step 1

Move all terms not containing $j$ to the right side of the equation.

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Step 1.1

Subtract $9$ from both sides of the equation.

$- \frac{1}{4 j} = 5 - 9$

Step 1.2

Subtract $9$ from $5$ .

$- \frac{1}{4 j} = - 4$

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.

$4 j, 1$

Step 2.2

The LCM of one and any expression is the expression.

$4 j$

Step 3

Multiply each term in $- \frac{1}{4 j} = - 4$ by $4 j$ to eliminate the fractions.

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Step 3.1

Multiply each term in $- \frac{1}{4 j} = - 4$ by $4 j$ .

$- \frac{1}{4 j} (4 j) = - 4 (4 j)$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4 j$ .

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Step 3.2.1.1

Move the leading negative in $- \frac{1}{4 j}$ into the numerator.

$\frac{- 1}{4 j} (4 j) = - 4 (4 j)$

Step 3.2.1.2

Cancel the common factor.

$\frac{- 1}{4 j} (4 j) = - 4 (4 j)$

Step 3.2.1.3

Rewrite the expression.

$- 1 = - 4 (4 j)$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply $4$ by $- 4$ .

$- 1 = - 16 j$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $- 16 j = - 1$ .

$- 16 j = - 1$

Step 4.2

Divide each term in $- 16 j = - 1$ by $- 16$ and simplify.

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Step 4.2.1

Divide each term in $- 16 j = - 1$ by $- 16$ .

$\frac{- 16 j}{- 16} = \frac{- 1}{- 16}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $- 16$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{- 16 j}{- 16} = \frac{- 1}{- 16}$

Step 4.2.2.1.2

Divide $j$ by $1$ .

$j = \frac{- 1}{- 16}$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Dividing two negative values results in a positive value.

$j = \frac{1}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$j = \frac{1}{16}$

Decimal Form:

$j = 0.0625$