Basic Math Examples

60 \div a + 38 = 48

$60 \div a + 38 = 48$

Step 1

Rewrite the division as a fraction.

\frac{60}{a} + 38 = 48

$\frac{60}{a} + 38 = 48$

Step 2

Move all terms not containing

a

$a$ to the right side of the equation.

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Step 2.1

Subtract

38

$38$ from both sides of the equation.

\frac{60}{a} = 48 - 38

$\frac{60}{a} = 48 - 38$

Step 2.2

Subtract

38

$38$ from

48

$48$ .

\frac{60}{a} = 10

$\frac{60}{a} = 10$

\frac{60}{a} = 10

$\frac{60}{a} = 10$

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.

a, 1

$a, 1$

Step 3.2

The LCM of one and any expression is the expression.

a

$a$

a

$a$

Step 4

Multiply each term in

\frac{60}{a} = 10

$\frac{60}{a} = 10$ by

a

$a$ to eliminate the fractions.

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Step 4.1

Multiply each term in

\frac{60}{a} = 10

$\frac{60}{a} = 10$ by

a

$a$ .

\frac{60}{a} a = 10 a

$\frac{60}{a} a = 10 a$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of

a

$a$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{60}{a} a = 10 a$

Step 4.2.1.2

Rewrite the expression.

$60 = 10 a$

Step 5

Solve the equation.

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Step 5.1

Rewrite the equation as

$10 a = 60$ .

$10 a = 60$

Step 5.2

Divide each term in

$10 a = 60$ by

$10$ and simplify.

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Step 5.2.1

Divide each term in

$10 a = 60$ by

$10$ .

$\frac{10 a}{10} = \frac{60}{10}$

Step 5.2.2

Simplify the left side.

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Step 5.2.2.1

Cancel the common factor of

$10$ .

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Step 5.2.2.1.1

Cancel the common factor.

$\frac{10 a}{10} = \frac{60}{10}$

Step 5.2.2.1.2

Divide

$a$ by

$1$ .

$a = \frac{60}{10}$

Step 5.2.3

Simplify the right side.

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Step 5.2.3.1

Divide

$60$ by

$10$ .

$a = 6$