Basic Math Examples

$\frac{3}{y} = 15$

Step 1

Find the LCD of the terms in the equation.

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Step 1.1

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

$y, 1$

Step 1.2

The LCM of one and any expression is the expression.

$y$

Step 2

Multiply each term in $\frac{3}{y} = 15$ by $y$ to eliminate the fractions.

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Step 2.1

Multiply each term in $\frac{3}{y} = 15$ by $y$ .

$\frac{3}{y} y = 15 y$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $y$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{3}{y} y = 15 y$

Step 2.2.1.2

Rewrite the expression.

$3 = 15 y$

Step 3

Solve the equation.

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Step 3.1

Rewrite the equation as $15 y = 3$ .

$15 y = 3$

Step 3.2

Divide each term in $15 y = 3$ by $15$ and simplify.

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Step 3.2.1

Divide each term in $15 y = 3$ by $15$ .

$\frac{15 y}{15} = \frac{3}{15}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $15$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{15 y}{15} = \frac{3}{15}$

Step 3.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{3}{15}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Cancel the common factor of $3$ and $15$ .

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Step 3.2.3.1.1

Factor $3$ out of $3$ .

$y = \frac{3 (1)}{15}$

Step 3.2.3.1.2

Cancel the common factors.

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Step 3.2.3.1.2.1

Factor $3$ out of $15$ .

$y = \frac{3 \cdot 1}{3 \cdot 5}$

Step 3.2.3.1.2.2

Cancel the common factor.

$y = \frac{3 \cdot 1}{3 \cdot 5}$

Step 3.2.3.1.2.3

Rewrite the expression.

$y = \frac{1}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{1}{5}$

Decimal Form:

$y = 0.2$