Basic Math Examples

$2 \div 38 = 334 \div c$

Step 1

Rewrite the equation as $334 \div c = 2 \div 38$ .

$334 \div c = 2 \div 38$

Step 2

Simplify both sides.

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Step 2.1

Rewrite the division as a fraction.

$\frac{334}{c} = 2 \div 38$

Step 2.2

Rewrite the division as a fraction.

$\frac{334}{c} = \frac{2}{38}$

Step 2.3

Cancel the common factor of $2$ and $38$ .

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Step 2.3.1

Factor $2$ out of $2$ .

$\frac{334}{c} = \frac{2 (1)}{38}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $2$ out of $38$ .

$\frac{334}{c} = \frac{2 \cdot 1}{2 \cdot 19}$

Step 2.3.2.2

Cancel the common factor.

$\frac{334}{c} = \frac{2 \cdot 1}{2 \cdot 19}$

Step 2.3.2.3

Rewrite the expression.

$\frac{334}{c} = \frac{1}{19}$

Step 3

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$334 \cdot 19 = c \cdot 1$

Step 4

Solve the equation for $c$ .

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Step 4.1

Rewrite the equation as $c \cdot 1 = 334 \cdot 19$ .

$c \cdot 1 = 334 \cdot 19$

Step 4.2

Multiply $c$ by $1$ .

$c = 334 \cdot 19$

Step 4.3

Multiply $334$ by $19$ .

$c = 6346$