Basic Math Examples

$\frac{4833 + 3341}{\frac{4833}{8.2} + \frac{3341}{6.8}}$

Step 1

Multiply the numerator and denominator of the fraction by $278.8$ .

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Step 1.1

Multiply $\frac{4833 + 3341}{\frac{4833}{8.2} + \frac{3341}{6.8}}$ by $\frac{278.8}{278.8}$ .

$\frac{278.8}{278.8} \cdot \frac{4833 + 3341}{\frac{4833}{8.2} + \frac{3341}{6.8}}$

Step 1.2

Combine.

$\frac{278.8 (4833 + 3341)}{278.8 (\frac{4833}{8.2} + \frac{3341}{6.8})}$

Step 2

Apply the distributive property.

$\frac{278.8 \cdot 4833 + 278.8 \cdot 3341}{278.8 (\frac{4833}{8.2}) + 278.8 (\frac{3341}{6.8})}$

Step 3

Simplify by cancelling.

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Step 3.1

Cancel the common factor of $8.2$ .

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Step 3.1.1

Factor $8.2$ out of $278.8$ .

$\frac{278.8 \cdot 4833 + 278.8 \cdot 3341}{8.2 (34) \frac{4833}{8.2} + 278.8 (\frac{3341}{6.8})}$

Step 3.1.2

Cancel the common factor.

$\frac{278.8 \cdot 4833 + 278.8 \cdot 3341}{8.2 \cdot 34 \frac{4833}{8.2} + 278.8 (\frac{3341}{6.8})}$

Step 3.1.3

Rewrite the expression.

$\frac{278.8 \cdot 4833 + 278.8 \cdot 3341}{34 \cdot 4833 + 278.8 (\frac{3341}{6.8})}$

Step 3.2

Multiply $34$ by $4833$ .

$\frac{278.8 \cdot 4833 + 278.8 \cdot 3341}{164322 + 278.8 (\frac{3341}{6.8})}$

Step 3.3

Cancel the common factor of $6.8$ .

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Step 3.3.1

Factor $6.8$ out of $278.8$ .

$\frac{278.8 \cdot 4833 + 278.8 \cdot 3341}{164322 + 6.8 (41) \frac{3341}{6.8}}$

Step 3.3.2

Cancel the common factor.

$\frac{278.8 \cdot 4833 + 278.8 \cdot 3341}{164322 + 6.8 \cdot 41 \frac{3341}{6.8}}$

Step 3.3.3

Rewrite the expression.

$\frac{278.8 \cdot 4833 + 278.8 \cdot 3341}{164322 + 41 \cdot 3341}$

Step 3.4

Multiply $41$ by $3341$ .

$\frac{278.8 \cdot 4833 + 278.8 \cdot 3341}{164322 + 136981}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $278.8$ by $4833$ .

$\frac{1347440.4 + 278.8 \cdot 3341}{164322 + 136981}$

Step 4.2

Multiply $278.8$ by $3341$ .

$\frac{1347440.4 + 931470.8}{164322 + 136981}$

Step 4.3

Add $1347440.4$ and $931470.8$ .

$\frac{2278911.2}{164322 + 136981}$

Step 5

Simplify the expression.

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Step 5.1

Add $164322$ and $136981$ .

$\frac{2278911.2}{301303}$

Step 5.2

Divide $2278911.2$ by $301303$ .

$7.56351977$