Basic Math Examples

$y = \frac{6}{18 f}$

Step 1

Rewrite the equation as $\frac{6}{18 f} = y$ .

$\frac{6}{18 f} = y$

Step 2

Reduce the expression $\frac{6}{18 f}$ by cancelling the common factors.

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Step 2.1

Factor $6$ out of $6$ .

$\frac{6 (1)}{18 f} = y$

Step 2.2

Factor $6$ out of $18 f$ .

$\frac{6 (1)}{6 (3 f)} = y$

Step 2.3

Cancel the common factor.

$\frac{6 \cdot 1}{6 (3 f)} = y$

Step 2.4

Rewrite the expression.

$\frac{1}{3 f} = y$

Step 3

Find the LCD of the terms in the equation.

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Step 3.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$3 f, 1$

Step 3.2

The LCM of one and any expression is the expression.

$3 f$

Step 4

Multiply each term in $\frac{1}{3 f} = y$ by $3 f$ to eliminate the fractions.

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Step 4.1

Multiply each term in $\frac{1}{3 f} = y$ by $3 f$ .

$\frac{1}{3 f} (3 f) = y (3 f)$

Step 4.2

Simplify the left side.

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Step 4.2.1

Rewrite using the commutative property of multiplication.

$3 \frac{1}{3 f} f = y (3 f)$

Step 4.2.2

Cancel the common factor of $3$ .

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Step 4.2.2.1

Factor $3$ out of $3 f$ .

$3 \frac{1}{3 (f)} f = y (3 f)$

Step 4.2.2.2

Cancel the common factor.

$3 \frac{1}{3 f} f = y (3 f)$

Step 4.2.2.3

Rewrite the expression.

$\frac{1}{f} f = y (3 f)$

Step 4.2.3

Cancel the common factor of $f$ .

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Step 4.2.3.1

Cancel the common factor.

$\frac{1}{f} f = y (3 f)$

Step 4.2.3.2

Rewrite the expression.

$1 = y (3 f)$

Step 4.3

Simplify the right side.

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Step 4.3.1

Rewrite using the commutative property of multiplication.

$1 = 3 y f$

Step 5

Solve the equation.

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Step 5.1

Rewrite the equation as $3 y f = 1$ .

$3 y f = 1$

Step 5.2

Divide each term in $3 y f = 1$ by $3 y$ and simplify.

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Step 5.2.1

Divide each term in $3 y f = 1$ by $3 y$ .

$\frac{3 y f}{3 y} = \frac{1}{3 y}$

Step 5.2.2

Simplify the left side.

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Step 5.2.2.1

Cancel the common factor of $3$ .

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Step 5.2.2.1.1

Cancel the common factor.

$\frac{3 y f}{3 y} = \frac{1}{3 y}$

Step 5.2.2.1.2

Rewrite the expression.

$\frac{y f}{y} = \frac{1}{3 y}$

Step 5.2.2.2

Cancel the common factor of $y$ .

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Step 5.2.2.2.1

Cancel the common factor.

$\frac{y f}{y} = \frac{1}{3 y}$

Step 5.2.2.2.2

Divide $f$ by $1$ .

$f = \frac{1}{3 y}$