Evaluate 4*10+8+4*1/10+2*1/100+2*1/1000

$4 \cdot 10 + 8 + 4 \cdot \frac{1}{10} + 2 \cdot \frac{1}{100} + 2 \cdot \frac{1}{1000}$

Simplify each term.

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Multiply $4$ by $10$ .

$40 + 8 + 4 \cdot \frac{1}{10} + 2 \cdot \frac{1}{100} + 2 \cdot \frac{1}{1000}$

Cancel the common factor of $2$ .

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Factor $2$ out of $4$ .

$40 + 8 + 2 (2) \cdot \frac{1}{10} + 2 \cdot \frac{1}{100} + 2 \cdot \frac{1}{1000}$

Factor $2$ out of $10$ .

$40 + 8 + 2 \cdot 2 \cdot \frac{1}{2 \cdot 5} + 2 \cdot \frac{1}{100} + 2 \cdot \frac{1}{1000}$

Cancel the common factor.

$40 + 8 + 2 \cdot 2 \cdot \frac{1}{2 \cdot 5} + 2 \cdot \frac{1}{100} + 2 \cdot \frac{1}{1000}$

Rewrite the expression.

$40 + 8 + 2 \cdot \frac{1}{5} + 2 \cdot \frac{1}{100} + 2 \cdot \frac{1}{1000}$

Combine $2$ and $\frac{1}{5}$ .

$40 + 8 + \frac{2}{5} + 2 \cdot \frac{1}{100} + 2 \cdot \frac{1}{1000}$

Cancel the common factor of $2$ .

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Factor $2$ out of $100$ .

$40 + 8 + \frac{2}{5} + 2 \cdot \frac{1}{2 (50)} + 2 \cdot \frac{1}{1000}$

Cancel the common factor.

$40 + 8 + \frac{2}{5} + 2 \cdot \frac{1}{2 \cdot 50} + 2 \cdot \frac{1}{1000}$

Rewrite the expression.

$40 + 8 + \frac{2}{5} + \frac{1}{50} + 2 \cdot \frac{1}{1000}$

Cancel the common factor of $2$ .

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Factor $2$ out of $1000$ .

$40 + 8 + \frac{2}{5} + \frac{1}{50} + 2 \cdot \frac{1}{2 (500)}$

Cancel the common factor.

$40 + 8 + \frac{2}{5} + \frac{1}{50} + 2 \cdot \frac{1}{2 \cdot 500}$

Rewrite the expression.

$40 + 8 + \frac{2}{5} + \frac{1}{50} + \frac{1}{500}$

Find the common denominator.

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Write $40$ as a fraction with denominator $1$ .

$\frac{40}{1} + 8 + \frac{2}{5} + \frac{1}{50} + \frac{1}{500}$

Multiply $\frac{40}{1}$ by $\frac{500}{500}$ .

$\frac{40}{1} \cdot \frac{500}{500} + 8 + \frac{2}{5} + \frac{1}{50} + \frac{1}{500}$

Multiply $\frac{40}{1}$ and $\frac{500}{500}$ .

$\frac{40 \cdot 500}{500} + 8 + \frac{2}{5} + \frac{1}{50} + \frac{1}{500}$

Write $8$ as a fraction with denominator $1$ .

$\frac{40 \cdot 500}{500} + \frac{8}{1} + \frac{2}{5} + \frac{1}{50} + \frac{1}{500}$

Multiply $\frac{8}{1}$ by $\frac{500}{500}$ .

$\frac{40 \cdot 500}{500} + \frac{8}{1} \cdot \frac{500}{500} + \frac{2}{5} + \frac{1}{50} + \frac{1}{500}$

Multiply $\frac{8}{1}$ and $\frac{500}{500}$ .

$\frac{40 \cdot 500}{500} + \frac{8 \cdot 500}{500} + \frac{2}{5} + \frac{1}{50} + \frac{1}{500}$

Multiply $\frac{2}{5}$ by $\frac{100}{100}$ .

$\frac{40 \cdot 500}{500} + \frac{8 \cdot 500}{500} + \frac{2}{5} \cdot \frac{100}{100} + \frac{1}{50} + \frac{1}{500}$

Combine.

$\frac{40 \cdot 500}{500} + \frac{8 \cdot 500}{500} + \frac{2 \cdot 100}{5 \cdot 100} + \frac{1}{50} + \frac{1}{500}$

Multiply $\frac{1}{50}$ by $\frac{10}{10}$ .

$\frac{40 \cdot 500}{500} + \frac{8 \cdot 500}{500} + \frac{2 \cdot 100}{5 \cdot 100} + \frac{1}{50} \cdot \frac{10}{10} + \frac{1}{500}$

Combine.

$\frac{40 \cdot 500}{500} + \frac{8 \cdot 500}{500} + \frac{2 \cdot 100}{5 \cdot 100} + \frac{1 \cdot 10}{50 \cdot 10} + \frac{1}{500}$

Multiply $5$ by $100$ .

$\frac{40 \cdot 500}{500} + \frac{8 \cdot 500}{500} + \frac{2 \cdot 100}{500} + \frac{1 \cdot 10}{50 \cdot 10} + \frac{1}{500}$

Reorder the factors of $50 \cdot 10$ .

$\frac{40 \cdot 500}{500} + \frac{8 \cdot 500}{500} + \frac{2 \cdot 100}{500} + \frac{1 \cdot 10}{10 \cdot 50} + \frac{1}{500}$

Multiply $10$ by $50$ .

$\frac{40 \cdot 500}{500} + \frac{8 \cdot 500}{500} + \frac{2 \cdot 100}{500} + \frac{1 \cdot 10}{500} + \frac{1}{500}$

Combine fractions.

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Combine fractions with similar denominators.

$\frac{40 \cdot 500 + 8 \cdot 500 + 2 \cdot 100 + 1 \cdot 10 + 1}{500}$

Multiply.

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Multiply $40$ by $500$ .

$\frac{20000 + 8 \cdot 500 + 2 \cdot 100 + 1 \cdot 10 + 1}{500}$

Multiply $8$ by $500$ .

$\frac{20000 + 4000 + 2 \cdot 100 + 1 \cdot 10 + 1}{500}$

Multiply $2$ by $100$ .

$\frac{20000 + 4000 + 200 + 1 \cdot 10 + 1}{500}$

Multiply $10$ by $1$ .

$\frac{20000 + 4000 + 200 + 10 + 1}{500}$

Simplify the numerator.

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Add $20000$ and $4000$ .

$\frac{24000 + 200 + 10 + 1}{500}$

Add $24000$ and $200$ .

$\frac{24200 + 10 + 1}{500}$

Add $24200$ and $10$ .

$\frac{24210 + 1}{500}$

Add $24210$ and $1$ .

$\frac{24211}{500}$

The result can be shown in multiple forms.

Exact Form:

$\frac{24211}{500}$

Decimal Form:

$48.422$

Mixed Number Form:

$48 \frac{211}{500}$

Evaluate 4*10+8+4*1/10+2*1/100+2*1/1000

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