Pre-Algebra Examples

$\frac{2.5}{35} = \frac{2}{d}$

Step 1

Rewrite the equation as $\frac{2}{d} = \frac{2.5}{35}$ .

$\frac{2}{d} = \frac{2.5}{35}$

Step 2

Divide $2.5$ by $35$ .

$\frac{2}{d} = 0.0\overline{714285}$

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.

$d, 1$

Step 3.2

The LCM of one and any expression is the expression.

$d$

Step 4

Multiply each term in $\frac{2}{d} = 0.0\overline{714285}$ by $d$ to eliminate the fractions.

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Step 4.1

Multiply each term in $\frac{2}{d} = 0.0\overline{714285}$ by $d$ .

$\frac{2}{d} d = 0.0\overline{714285} d$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $d$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2}{d} d = 0.0\overline{714285} d$

Step 4.2.1.2

Rewrite the expression.

$2 = 0.0\overline{714285} d$

Step 5

Solve the equation.

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Step 5.1

Rewrite the equation as $0.0\overline{714285} d = 2$ .

$0.0\overline{714285} d = 2$

Step 5.2

Divide each term in $0.0\overline{714285} d = 2$ by $0.0\overline{714285}$ and simplify.

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Step 5.2.1

Divide each term in $0.0\overline{714285} d = 2$ by $0.0\overline{714285}$ .

$\frac{0.0\overline{714285} d}{0.0\overline{714285}} = \frac{2}{0.0\overline{714285}}$

Step 5.2.2

Simplify the left side.

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Step 5.2.2.1

Cancel the common factor of $0.0\overline{714285}$ .

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Step 5.2.2.1.1

Cancel the common factor.

$\frac{0.0\overline{714285} d}{0.0\overline{714285}} = \frac{2}{0.0\overline{714285}}$

Step 5.2.2.1.2

Divide $d$ by $1$ .

$d = \frac{2}{0.0\overline{714285}}$

Step 5.2.3

Simplify the right side.

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Step 5.2.3.1

Divide $2$ by $0.0\overline{714285}$ .

$d = 28$