Basic Math Examples

$\frac{7}{10} + \frac{7}{100} + \frac{7}{1000}$

Step 1

Find the common denominator.

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Step 1.1

Multiply

$\frac{7}{10}$ by

$\frac{100}{100}$ .

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

Step 1.2

Multiply

$\frac{7}{10}$ by

$\frac{100}{100}$ .

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

Step 1.3

Multiply

$\frac{7}{100}$ by

$\frac{10}{10}$ .

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

Step 1.4

Multiply

$\frac{7}{100}$ by

$\frac{10}{10}$ .

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

Step 1.5

Multiply

$10$ by

$100$ .

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

Step 1.6

Reorder the factors of

$100 \cdot 10$ .

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

Step 1.7

Multiply

$10$ by

$100$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify each term.

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Step 3.1

Multiply

$7$ by

$100$ .

$\frac{700 + 7 \cdot 10 + 7}{1000}$

Step 3.2

Multiply

$7$ by

$10$ .

$\frac{700 + 70 + 7}{1000}$

Step 4

Simplify by adding numbers.

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Step 4.1

Add

$700$ and

$70$ .

$\frac{770 + 7}{1000}$

Step 4.2

Add

$770$ and

$7$ .

$\frac{777}{1000}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{777}{1000}$

Decimal Form:

$0.777$