Finite Math Examples

$470.3588 = 2605 (\frac{244}{360}) x z$

Step 1

Rewrite the equation as $2605 (\frac{244}{360}) \cdot (x z) = 470.3588$ .

$2605 (\frac{244}{360}) \cdot (x z) = 470.3588$

Step 2

Simplify.

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Step 2.1

Cancel the common factor of $5$ .

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Step 2.1.1

Factor $5$ out of $2605$ .

$5 (521) \frac{244}{360} \cdot (x z) = 470.3588$

Step 2.1.2

Factor $5$ out of $360$ .

$5 \cdot 521 \frac{244}{5 \cdot 72} \cdot (x z) = 470.3588$

Step 2.1.3

Cancel the common factor.

$5 \cdot 521 \frac{244}{5 \cdot 72} \cdot (x z) = 470.3588$

Step 2.1.4

Rewrite the expression.

$521 (\frac{244}{72}) \cdot (x z) = 470.3588$

Step 2.2

Combine $521$ and $\frac{244}{72}$ .

$\frac{521 \cdot 244}{72} \cdot (x z) = 470.3588$

Step 2.3

Multiply $521$ by $244$ .

$\frac{127124}{72} \cdot (x z) = 470.3588$

Step 2.4

Reduce the expression $\frac{127124}{72}$ by cancelling the common factors.

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Step 2.4.1

Factor $4$ out of $127124$ .

$\frac{4 (31781)}{72} \cdot (x z) = 470.3588$

Step 2.4.2

Factor $4$ out of $72$ .

$\frac{4 \cdot 31781}{4 \cdot 18} \cdot (x z) = 470.3588$

Step 2.4.3

Cancel the common factor.

$\frac{4 \cdot 31781}{4 \cdot 18} \cdot (x z) = 470.3588$

Step 2.4.4

Rewrite the expression.

$\frac{31781}{18} \cdot (x z) = 470.3588$

Step 2.5

Remove parentheses.

$\frac{31781}{18} \cdot x z = 470.3588$

Step 3

Divide each term in $\frac{31781}{18} \cdot (x z) = 470.3588$ by $\frac{31781}{18} z$ and simplify.

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Step 3.1

Divide each term in $\frac{31781}{18} \cdot (x z) = 470.3588$ by $\frac{31781}{18} z$ .

$\frac{\frac{31781}{18} \cdot (x z)}{\frac{31781}{18} z} = \frac{470.3588}{\frac{31781}{18} z}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $\frac{31781}{18}$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{\frac{31781}{18} \cdot (x z)}{\frac{31781}{18} z} = \frac{470.3588}{\frac{31781}{18} z}$

Step 3.2.1.2

Rewrite the expression.

$\frac{x z}{z} = \frac{470.3588}{\frac{31781}{18} z}$

Step 3.2.2

Cancel the common factor of $z$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{x z}{z} = \frac{470.3588}{\frac{31781}{18} z}$

Step 3.2.2.2

Divide $x$ by $1$ .

$x = \frac{470.3588}{\frac{31781}{18} z}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Combine $\frac{31781}{18}$ and $z$ .

$x = \frac{470.3588}{\frac{31781 z}{18}}$

Step 3.3.2

Multiply the numerator by the reciprocal of the denominator.

$x = 470.3588 \frac{18}{31781 z}$

Step 3.3.3

Multiply $470.3588 \frac{18}{31781 z}$ .

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Step 3.3.3.1

Combine $470.3588$ and $\frac{18}{31781 z}$ .

$x = \frac{470.3588 \cdot 18}{31781 z}$

Step 3.3.3.2

Multiply $470.3588$ by $18$ .

$x = \frac{8466.4584}{31781 z}$

Step 3.3.4

Factor $8466.4584$ out of $8466.4584$ .

$x = \frac{8466.4584 (1)}{31781 z}$

Step 3.3.5

Factor $31781$ out of $31781 z$ .

$x = \frac{8466.4584 (1)}{31781 (z)}$

Step 3.3.6

Separate fractions.

$x = \frac{8466.4584}{31781} \cdot \frac{1}{z}$

Step 3.3.7

Divide $8466.4584$ by $31781$ .

$x = 0.2664 \frac{1}{z}$

Step 3.3.8

Combine $0.2664$ and $\frac{1}{z}$ .

$x = \frac{0.2664}{z}$