Basic Math Examples

$6 \cdot 10 + 7 \cdot 1 + \frac{0}{10} + \frac{7}{100} + \frac{3}{1000}$

Step 1

Simplify each term.

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Step 1.1

Multiply $6$ by $10$ .

$60 + 7 \cdot 1 + \frac{0}{10} + \frac{7}{100} + \frac{3}{1000}$

Step 1.2

Multiply $7$ by $1$ .

$60 + 7 + \frac{0}{10} + \frac{7}{100} + \frac{3}{1000}$

Step 1.3

Divide $0$ by $10$ .

$60 + 7 + 0 + \frac{7}{100} + \frac{3}{1000}$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $60$ and $7$ .

$67 + 0 + \frac{7}{100} + \frac{3}{1000}$

Step 2.2

Add $67$ and $0$ .

$67 + \frac{7}{100} + \frac{3}{1000}$

Step 3

Find the common denominator.

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Step 3.1

Write $67$ as a fraction with denominator $1$ .

$\frac{67}{1} + \frac{7}{100} + \frac{3}{1000}$

Step 3.2

Multiply $\frac{67}{1}$ by $\frac{1000}{1000}$ .

$\frac{67}{1} \cdot \frac{1000}{1000} + \frac{7}{100} + \frac{3}{1000}$

Step 3.3

Multiply $\frac{67}{1}$ by $\frac{1000}{1000}$ .

$\frac{67 \cdot 1000}{1000} + \frac{7}{100} + \frac{3}{1000}$

Step 3.4

Multiply $\frac{7}{100}$ by $\frac{10}{10}$ .

$\frac{67 \cdot 1000}{1000} + \frac{7}{100} \cdot \frac{10}{10} + \frac{3}{1000}$

Step 3.5

Multiply $\frac{7}{100}$ by $\frac{10}{10}$ .

$\frac{67 \cdot 1000}{1000} + \frac{7 \cdot 10}{100 \cdot 10} + \frac{3}{1000}$

Step 3.6

Reorder the factors of $100 \cdot 10$ .

$\frac{67 \cdot 1000}{1000} + \frac{7 \cdot 10}{10 \cdot 100} + \frac{3}{1000}$

Step 3.7

Multiply $10$ by $100$ .

$\frac{67 \cdot 1000}{1000} + \frac{7 \cdot 10}{1000} + \frac{3}{1000}$

Step 4

Combine the numerators over the common denominator.

$\frac{67 \cdot 1000 + 7 \cdot 10 + 3}{1000}$

Step 5

Simplify each term.

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Step 5.1

Multiply $67$ by $1000$ .

$\frac{67000 + 7 \cdot 10 + 3}{1000}$

Step 5.2

Multiply $7$ by $10$ .

$\frac{67000 + 70 + 3}{1000}$

Step 6

Simplify by adding numbers.

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Step 6.1

Add $67000$ and $70$ .

$\frac{67070 + 3}{1000}$

Step 6.2

Add $67070$ and $3$ .

$\frac{67073}{1000}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{67073}{1000}$

Decimal Form:

$67.073$

Mixed Number Form:

$67 \frac{73}{1000}$