Basic Math Examples

$\frac{17}{11} = \frac{y}{11 d}$

Step 1

Rewrite the equation as $\frac{y}{11 d} = \frac{17}{11}$ .

$\frac{y}{11 d} = \frac{17}{11}$

Step 2

Multiply both sides by $11 d$ .

$\frac{y}{11 d} (11 d) = \frac{17}{11} (11 d)$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{y}{11 d} (11 d)$ .

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Step 3.1.1.1

Rewrite using the commutative property of multiplication.

$11 \frac{y}{11 d} d = \frac{17}{11} (11 d)$

Step 3.1.1.2

Cancel the common factor of $11$ .

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Step 3.1.1.2.1

Factor $11$ out of $11 d$ .

$11 \frac{y}{11 (d)} d = \frac{17}{11} (11 d)$

Step 3.1.1.2.2

Cancel the common factor.

$11 \frac{y}{11 d} d = \frac{17}{11} (11 d)$

Step 3.1.1.2.3

Rewrite the expression.

$\frac{y}{d} d = \frac{17}{11} (11 d)$

Step 3.1.1.3

Cancel the common factor of $d$ .

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Step 3.1.1.3.1

Cancel the common factor.

$\frac{y}{d} d = \frac{17}{11} (11 d)$

Step 3.1.1.3.2

Rewrite the expression.

$y = \frac{17}{11} (11 d)$

Step 3.2

Simplify the right side.

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Step 3.2.1

Cancel the common factor of $11$ .

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Step 3.2.1.1

Factor $11$ out of $11 d$ .

$y = \frac{17}{11} (11 (d))$

Step 3.2.1.2

Cancel the common factor.

$y = \frac{17}{11} (11 d)$

Step 3.2.1.3

Rewrite the expression.

$y = 17 d$