Basic Math Examples

$\frac{5}{586} + \frac{5}{11} + \frac{5}{9}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{5}{586}$ by $\frac{99}{99}$ .

$\frac{5}{586} \cdot \frac{99}{99} + \frac{5}{11} + \frac{5}{9}$

Step 1.2

Multiply $\frac{5}{586}$ by $\frac{99}{99}$ .

$\frac{5 \cdot 99}{586 \cdot 99} + \frac{5}{11} + \frac{5}{9}$

Step 1.3

Multiply $\frac{5}{11}$ by $\frac{5274}{5274}$ .

$\frac{5 \cdot 99}{586 \cdot 99} + \frac{5}{11} \cdot \frac{5274}{5274} + \frac{5}{9}$

Step 1.4

Multiply $\frac{5}{11}$ by $\frac{5274}{5274}$ .

$\frac{5 \cdot 99}{586 \cdot 99} + \frac{5 \cdot 5274}{11 \cdot 5274} + \frac{5}{9}$

Step 1.5

Multiply $\frac{5}{9}$ by $\frac{6446}{6446}$ .

$\frac{5 \cdot 99}{586 \cdot 99} + \frac{5 \cdot 5274}{11 \cdot 5274} + \frac{5}{9} \cdot \frac{6446}{6446}$

Step 1.6

Multiply $\frac{5}{9}$ by $\frac{6446}{6446}$ .

$\frac{5 \cdot 99}{586 \cdot 99} + \frac{5 \cdot 5274}{11 \cdot 5274} + \frac{5 \cdot 6446}{9 \cdot 6446}$

Step 1.7

Reorder the factors of $586 \cdot 99$ .

$\frac{5 \cdot 99}{99 \cdot 586} + \frac{5 \cdot 5274}{11 \cdot 5274} + \frac{5 \cdot 6446}{9 \cdot 6446}$

Step 1.8

Multiply $99$ by $586$ .

$\frac{5 \cdot 99}{58014} + \frac{5 \cdot 5274}{11 \cdot 5274} + \frac{5 \cdot 6446}{9 \cdot 6446}$

Step 1.9

Multiply $11$ by $5274$ .

$\frac{5 \cdot 99}{58014} + \frac{5 \cdot 5274}{58014} + \frac{5 \cdot 6446}{9 \cdot 6446}$

Step 1.10

Multiply $9$ by $6446$ .

$\frac{5 \cdot 99}{58014} + \frac{5 \cdot 5274}{58014} + \frac{5 \cdot 6446}{58014}$

Step 2

Combine the numerators over the common denominator.

$\frac{5 \cdot 99 + 5 \cdot 5274 + 5 \cdot 6446}{58014}$

Step 3

Simplify each term.

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Step 3.1

Multiply $5$ by $99$ .

$\frac{495 + 5 \cdot 5274 + 5 \cdot 6446}{58014}$

Step 3.2

Multiply $5$ by $5274$ .

$\frac{495 + 26370 + 5 \cdot 6446}{58014}$

Step 3.3

Multiply $5$ by $6446$ .

$\frac{495 + 26370 + 32230}{58014}$

Step 4

Simplify by adding numbers.

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Step 4.1

Add $495$ and $26370$ .

$\frac{26865 + 32230}{58014}$

Step 4.2

Add $26865$ and $32230$ .

$\frac{59095}{58014}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{59095}{58014}$

Decimal Form:

$1.01863343 \dots$

Mixed Number Form:

$1 \frac{1081}{58014}$