Basic Math Examples

\frac{60}{4} = \frac{12}{y}

$\frac{60}{4} = \frac{12}{y}$

Step 1

Rewrite the equation as

\frac{12}{y} = \frac{60}{4}

$\frac{12}{y} = \frac{60}{4}$ .

\frac{12}{y} = \frac{60}{4}

$\frac{12}{y} = \frac{60}{4}$

Step 2

Divide

60

$60$ by

4

$4$ .

\frac{12}{y} = 15

$\frac{12}{y} = 15$

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.

y, 1

$y, 1$

Step 3.2

The LCM of one and any expression is the expression.

y

$y$

y

$y$

Step 4

Multiply each term in

\frac{12}{y} = 15

$\frac{12}{y} = 15$ by

y

$y$ to eliminate the fractions.

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Step 4.1

Multiply each term in

\frac{12}{y} = 15

$\frac{12}{y} = 15$ by

y

$y$ .

\frac{12}{y} y = 15 y

$\frac{12}{y} y = 15 y$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of

y

$y$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{12}{y} y = 15 y$

Step 4.2.1.2

Rewrite the expression.

$12 = 15 y$

$12 = 15 y$

$12 = 15 y$

$12 = 15 y$

Step 5

Solve the equation.

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Step 5.1

Rewrite the equation as

$15 y = 12$ .

$15 y = 12$

Step 5.2

Divide each term in

$15 y = 12$ by

$15$ and simplify.

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Step 5.2.1

Divide each term in

$15 y = 12$ by

$15$ .

$\frac{15 y}{15} = \frac{12}{15}$

Step 5.2.2

Simplify the left side.

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Step 5.2.2.1

Cancel the common factor of

$15$ .

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Step 5.2.2.1.1

Cancel the common factor.

$\frac{15 y}{15} = \frac{12}{15}$

Step 5.2.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{12}{15}$

$y = \frac{12}{15}$

$y = \frac{12}{15}$

Step 5.2.3

Simplify the right side.

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Step 5.2.3.1

Cancel the common factor of

$12$ and

$15$ .

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Step 5.2.3.1.1

Factor

$3$ out of

$12$ .

$y = \frac{3 (4)}{15}$

Step 5.2.3.1.2

Cancel the common factors.

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Step 5.2.3.1.2.1

Factor

$3$ out of

$15$ .

$y = \frac{3 \cdot 4}{3 \cdot 5}$

Step 5.2.3.1.2.2

Cancel the common factor.

$y = \frac{3 \cdot 4}{3 \cdot 5}$

Step 5.2.3.1.2.3

Rewrite the expression.

$y = \frac{4}{5}$

$y = \frac{4}{5}$

$y = \frac{4}{5}$

$y = \frac{4}{5}$

$y = \frac{4}{5}$

$y = \frac{4}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = \frac{4}{5}$

Decimal Form:

$y = 0.8$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$