Pre-Algebra Examples

$480 (t - \frac{40}{60}) = 460$

Step 1

Simplify $480 (t - \frac{40}{60})$ .

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Step 1.1

Cancel the common factor of $40$ and $60$ .

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Step 1.1.1

Factor $20$ out of $40$ .

$480 (t - \frac{20 (2)}{60}) = 460$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $20$ out of $60$ .

$480 (t - \frac{20 \cdot 2}{20 \cdot 3}) = 460$

Step 1.1.2.2

Cancel the common factor.

$480 (t - \frac{20 \cdot 2}{20 \cdot 3}) = 460$

Step 1.1.2.3

Rewrite the expression.

$480 (t - \frac{2}{3}) = 460$

$480 (t - \frac{2}{3}) = 460$

$480 (t - \frac{2}{3}) = 460$

Step 1.2

Apply the distributive property.

$480 t + 480 (- \frac{2}{3}) = 460$

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$480 t + 480 (\frac{- 2}{3}) = 460$

Step 1.3.2

Factor $3$ out of $480$ .

$480 t + 3 (160) \frac{- 2}{3} = 460$

Step 1.3.3

Cancel the common factor.

$480 t + 3 \cdot 160 \frac{- 2}{3} = 460$

Step 1.3.4

Rewrite the expression.

$480 t + 160 \cdot - 2 = 460$

$480 t + 160 \cdot - 2 = 460$

Step 1.4

Multiply $160$ by $- 2$ .

$480 t - 320 = 460$

$480 t - 320 = 460$

Step 2

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

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Step 2.1

Add $320$ to both sides of the equation.

$480 t = 460 + 320$

Step 2.2

Add $460$ and $320$ .

$480 t = 780$

$480 t = 780$

Step 3

Divide each term in $480 t = 780$ by $480$ and simplify.

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Step 3.1

Divide each term in $480 t = 780$ by $480$ .

$\frac{480 t}{480} = \frac{780}{480}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $480$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{480 t}{480} = \frac{780}{480}$

Step 3.2.1.2

Divide $t$ by $1$ .

$t = \frac{780}{480}$

$t = \frac{780}{480}$

$t = \frac{780}{480}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $780$ and $480$ .

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Step 3.3.1.1

Factor $60$ out of $780$ .

$t = \frac{60 (13)}{480}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $60$ out of $480$ .

$t = \frac{60 \cdot 13}{60 \cdot 8}$

Step 3.3.1.2.2

Cancel the common factor.

$t = \frac{60 \cdot 13}{60 \cdot 8}$

Step 3.3.1.2.3

Rewrite the expression.

$t = \frac{13}{8}$

$t = \frac{13}{8}$

$t = \frac{13}{8}$

$t = \frac{13}{8}$

$t = \frac{13}{8}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$