Basic Math Examples

$3 \frac{3}{8} ton = lb$

Step 1

Convert $3 \frac{3}{8}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$(3 + \frac{3}{8}) ton = lb$

Step 1.2

Add $3$ and $\frac{3}{8}$ .

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Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$(3 \cdot \frac{8}{8} + \frac{3}{8}) ton = lb$

Step 1.2.2

Combine $3$ and $\frac{8}{8}$ .

$(\frac{3 \cdot 8}{8} + \frac{3}{8}) ton = lb$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{3 \cdot 8 + 3}{8} ton = lb$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $8$ .

$\frac{24 + 3}{8} ton = lb$

Step 1.2.4.2

Add $24$ and $3$ .

$\frac{27}{8} ton = lb$

Step 2

Convert $lb$ to $ton$ .

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Step 2.1

Convert $lb$ to $ton$ .

$\frac{27}{8} ton = lb \times \frac{1 ton}{2000 lb}$

Step 2.2

Cancel the common units and simplify.

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Step 2.2.1

Cross cancel units.

$\frac{27}{8} ton = \frac{lb}{1} \times \frac{1 ton}{2000 lb}$

Step 2.2.2

Simplify the expression.

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Step 2.2.2.1

Remove the canceled units.

$\frac{27}{8} ton = \frac{1}{1} \times \frac{1 ton}{2000}$

Step 2.2.2.2

Cancel the common factor of $1$ .

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Step 2.2.2.2.1

Cancel the common factor.

$\frac{27}{8} ton = \frac{1}{1} \times \frac{1 ton}{2000}$

Step 2.2.2.2.2

Rewrite the expression.

$\frac{27}{8} ton = 1 \times \frac{1 ton}{2000}$

Step 2.2.2.3

Multiply $\frac{1 ton}{2000}$ by $1$ .

$\frac{27}{8} ton = \frac{1 ton}{2000}$

Step 2.2.2.4

Rewrite the expression.

$\frac{27}{8} ton = \frac{1}{2000} ton$

Step 2.2.3

Convert to decimal.

$\frac{27}{8} ton = 0.0005 ton$