Pre-Algebra Examples

$120 oz$

Step 1

Convert $oz$ to $ton$ .

$120 oz \times \frac{1 lb}{16 oz} \times \frac{1 ton}{2000 lb}$

Step 2

Cancel the common units and simplify.

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Step 2.1

Cross cancel units.

$\frac{120 oz}{1} \times \frac{1 lb}{16 oz} \times \frac{1 ton}{2000 lb}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Remove the canceled units.

$\frac{120}{1} \times \frac{1}{16} \times \frac{1 ton}{2000}$

Step 2.2.2

Combine fractions.

$\frac{120}{16 \cdot 2000} ton$

Step 2.2.3

Cancel the common factor of $120$ and $16$ .

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Step 2.2.3.1

Factor $8$ out of $120$ .

$\frac{8 (15)}{16 \cdot 2000} ton$

Step 2.2.3.2

Cancel the common factors.

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Step 2.2.3.2.1

Factor $8$ out of $16 \cdot 2000$ .

$\frac{8 (15)}{8 (2 \cdot 2000)} ton$

Step 2.2.3.2.2

Cancel the common factor.

$\frac{8 \cdot 15}{8 (2 \cdot 2000)} ton$

Step 2.2.3.2.3

Rewrite the expression.

$\frac{15}{2 \cdot 2000} ton$

Step 2.2.4

Cancel the common factor of $15$ and $2000$ .

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Step 2.2.4.1

Factor $5$ out of $15$ .

$\frac{5 (3)}{2 \cdot 2000} ton$

Step 2.2.4.2

Cancel the common factors.

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Step 2.2.4.2.1

Factor $5$ out of $2 \cdot 2000$ .

$\frac{5 (3)}{5 (2 \cdot 400)} ton$

Step 2.2.4.2.2

Cancel the common factor.

$\frac{5 \cdot 3}{5 (2 \cdot 400)} ton$

Step 2.2.4.2.3

Rewrite the expression.

$\frac{3}{2 \cdot 400} ton$

Step 2.2.5

Multiply $2$ by $400$ .

$\frac{3}{800} ton$

Step 2.3

Convert to decimal.

$0.00375 ton$

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