Basic Math Examples

$\frac{1}{768} + \frac{1}{768} + \frac{1}{1728} + \frac{1}{1728}$

Step 1

Combine fractions.

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Step 1.1

Combine the numerators over the common denominator.

$\frac{1 + 1}{768} + \frac{1 + 1}{1728}$

Step 1.2

Simplify by adding numbers.

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Step 1.2.1

Add $1$ and $1$ .

$\frac{2}{768} + \frac{1 + 1}{1728}$

Step 1.2.2

Add $1$ and $1$ .

$\frac{2}{768} + \frac{2}{1728}$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $2$ and $768$ .

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Step 2.1.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{768} + \frac{2}{1728}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $2$ out of $768$ .

$\frac{2 \cdot 1}{2 \cdot 384} + \frac{2}{1728}$

Step 2.1.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 384} + \frac{2}{1728}$

Step 2.1.2.3

Rewrite the expression.

$\frac{1}{384} + \frac{2}{1728}$

Step 2.2

Cancel the common factor of $2$ and $1728$ .

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Step 2.2.1

Factor $2$ out of $2$ .

$\frac{1}{384} + \frac{2 (1)}{1728}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $2$ out of $1728$ .

$\frac{1}{384} + \frac{2 \cdot 1}{2 \cdot 864}$

Step 2.2.2.2

Cancel the common factor.

$\frac{1}{384} + \frac{2 \cdot 1}{2 \cdot 864}$

Step 2.2.2.3

Rewrite the expression.

$\frac{1}{384} + \frac{1}{864}$

Step 3

To write $\frac{1}{384}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{1}{384} \cdot \frac{9}{9} + \frac{1}{864}$

Step 4

To write $\frac{1}{864}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{1}{384} \cdot \frac{9}{9} + \frac{1}{864} \cdot \frac{4}{4}$

Step 5

Write each expression with a common denominator of $3456$ , by multiplying each by an appropriate factor of $1$ .

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Step 5.1

Multiply $\frac{1}{384}$ by $\frac{9}{9}$ .

$\frac{9}{384 \cdot 9} + \frac{1}{864} \cdot \frac{4}{4}$

Step 5.2

Multiply $384$ by $9$ .

$\frac{9}{3456} + \frac{1}{864} \cdot \frac{4}{4}$

Step 5.3

Multiply $\frac{1}{864}$ by $\frac{4}{4}$ .

$\frac{9}{3456} + \frac{4}{864 \cdot 4}$

Step 5.4

Multiply $864$ by $4$ .

$\frac{9}{3456} + \frac{4}{3456}$

Step 6

Combine the numerators over the common denominator.

$\frac{9 + 4}{3456}$

Step 7

Add $9$ and $4$ .

$\frac{13}{3456}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{3456}$

Decimal Form:

$0.00376157 \dots$