Finite Math Examples

$\frac{428.13 m}{0.68 s} = \frac{m}{s}$

Step 1

Factor each term.

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Step 1.1

Factor $428.13$ out of $428.13 m$ .

$\frac{428.13 (m)}{0.68 s} = \frac{m}{s}$

Step 1.2

Factor $0.68$ out of $0.68 s$ .

$\frac{428.13 (m)}{0.68 (s)} = \frac{m}{s}$

Step 1.3

Separate fractions.

$\frac{428.13}{0.68} \cdot \frac{m}{s} = \frac{m}{s}$

Step 1.4

Divide $428.13$ by $0.68$ .

$629.60294117 \frac{m}{s} = \frac{m}{s}$

Step 1.5

Combine $629.60294117$ and $\frac{m}{s}$ .

$\frac{629.60294117 m}{s} = \frac{m}{s}$

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.

$s, 1$

Step 2.2

The LCM of one and any expression is the expression.

$s$

Step 3

Multiply each term in $\frac{629.60294117 m}{s} = \frac{m}{s}$ by $s$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{629.60294117 m}{s} = \frac{m}{s}$ by $s$ .

$\frac{629.60294117 m}{s} s = \frac{m}{s} s$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $s$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{629.60294117 m}{s} s = \frac{m}{s} s$

Step 3.2.1.2

Rewrite the expression.

$629.60294117 m = \frac{m}{s} s$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $\frac{m}{s} s = 629.60294117 m$ .

$\frac{m}{s} s = 629.60294117 m$

Step 4.2

Divide each term in $\frac{m}{s} s = 629.60294117 m$ by $\frac{m}{s}$ and simplify.

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Step 4.2.1

Divide each term in $\frac{m}{s} s = 629.60294117 m$ by $\frac{m}{s}$ .

$\frac{\frac{m}{s} s}{\frac{m}{s}} = \frac{629.60294117 m}{\frac{m}{s}}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $\frac{m}{s}$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{\frac{m}{s} s}{\frac{m}{s}} = \frac{629.60294117 m}{\frac{m}{s}}$

Step 4.2.2.1.2

Divide $s$ by $1$ .

$s = \frac{629.60294117 m}{\frac{m}{s}}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$s = 629.60294117 m \frac{s}{m}$