Basic Math Examples

$4 \frac{1}{6} = - 3.3 c$

Step 1

Simplify the left side.

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Step 1.1

Convert $4 \frac{1}{6}$ to an improper fraction.

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Step 1.1.1

A mixed number is an addition of its whole and fractional parts.

$4 + \frac{1}{6} = - 3.3 c$

Step 1.1.2

Add $4$ and $\frac{1}{6}$ .

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Step 1.1.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$4 \cdot \frac{6}{6} + \frac{1}{6} = - 3.3 c$

Step 1.1.2.2

Combine $4$ and $\frac{6}{6}$ .

$\frac{4 \cdot 6}{6} + \frac{1}{6} = - 3.3 c$

Step 1.1.2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 6 + 1}{6} = - 3.3 c$

Step 1.1.2.4

Simplify the numerator.

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Step 1.1.2.4.1

Multiply $4$ by $6$ .

$\frac{24 + 1}{6} = - 3.3 c$

Step 1.1.2.4.2

Add $24$ and $1$ .

$\frac{25}{6} = - 3.3 c$

Step 2

Rewrite the equation as $- 3.3 c = \frac{25}{6}$ .

$- 3.3 c = \frac{25}{6}$

Step 3

Divide each term in $- 3.3 c = \frac{25}{6}$ by $- 3.3$ and simplify.

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Step 3.1

Divide each term in $- 3.3 c = \frac{25}{6}$ by $- 3.3$ .

$\frac{- 3.3 c}{- 3.3} = \frac{\frac{25}{6}}{- 3.3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 3.3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 3.3 c}{- 3.3} = \frac{\frac{25}{6}}{- 3.3}$

Step 3.2.1.2

Divide $c$ by $1$ .

$c = \frac{\frac{25}{6}}{- 3.3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply the numerator by the reciprocal of the denominator.

$c = \frac{25}{6} \cdot \frac{1}{- 3.3}$

Step 3.3.2

Divide $1$ by $- 3.3$ .

$c = \frac{25}{6} \cdot - 0.\overline{30}$

Step 3.3.3

Multiply $\frac{25}{6} \cdot - 0.\overline{30}$ .

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Step 3.3.3.1

Combine $\frac{25}{6}$ and $- 0.\overline{30}$ .

$c = \frac{25 \cdot - 0.\overline{30}}{6}$

Step 3.3.3.2

Multiply $25$ by $- 0.\overline{30}$ .

$c = \frac{- 7.\overline{57}}{6}$

Step 3.3.4

Divide $- 7.\overline{57}$ by $6$ .

$c = - 1.\overline{26}$