Finite Math Examples

$\frac{2.8}{4} = \frac{7}{q}$

Step 1

Rewrite the equation as $\frac{7}{q} = \frac{2.8}{4}$ .

$\frac{7}{q} = \frac{2.8}{4}$

Step 2

Divide $2.8$ by $4$ .

$\frac{7}{q} = 0.7$

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.

$q, 1$

Step 3.2

The LCM of one and any expression is the expression.

$q$

Step 4

Multiply each term in $\frac{7}{q} = 0.7$ by $q$ to eliminate the fractions.

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Step 4.1

Multiply each term in $\frac{7}{q} = 0.7$ by $q$ .

$\frac{7}{q} q = 0.7 q$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $q$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{7}{q} q = 0.7 q$

Step 4.2.1.2

Rewrite the expression.

$7 = 0.7 q$

Step 5

Solve the equation.

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Step 5.1

Rewrite the equation as $0.7 q = 7$ .

$0.7 q = 7$

Step 5.2

Divide each term in $0.7 q = 7$ by $0.7$ and simplify.

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Step 5.2.1

Divide each term in $0.7 q = 7$ by $0.7$ .

$\frac{0.7 q}{0.7} = \frac{7}{0.7}$

Step 5.2.2

Simplify the left side.

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Step 5.2.2.1

Cancel the common factor of $0.7$ .

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Step 5.2.2.1.1

Cancel the common factor.

$\frac{0.7 q}{0.7} = \frac{7}{0.7}$

Step 5.2.2.1.2

Divide $q$ by $1$ .

$q = \frac{7}{0.7}$

Step 5.2.3

Simplify the right side.

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Step 5.2.3.1

Divide $7$ by $0.7$ .

$q = 10$