Pre-Algebra Examples

\frac{15}{12}

$\frac{15}{12}$

Step 1

Reduce the expression

\frac{15}{12}

$\frac{15}{12}$ by cancelling the common factors.

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Step 1.1

Factor

3

$3$ out of

15

$15$ .

\frac{3 (5)}{12}

$\frac{3 (5)}{12}$

Step 1.2

Factor

3

$3$ out of

12

$12$ .

\frac{3 \cdot 5}{3 \cdot 4}

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

Step 1.3

Cancel the common factor.

\frac{3 \cdot 5}{3 \cdot 4}

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

Step 1.4

Rewrite the expression.

\frac{5}{4}

$\frac{5}{4}$

\frac{5}{4}

$\frac{5}{4}$

Step 2

Set up the division problem in long division format.

4

$4$

5

$5$

Step 3

Divide

5

$5$ by

4

$4$ . Place this digit in the quotient on top of the division symbol.

	$1$ $1$
$4$ $4$	$5$ $5$

Step 4

Multiply the newest quotient digit

(1)

$(1)$ by the divisor

4

$4$ .

	$1$ $1$
$4$ $4$	$5$ $5$
$-$ $-$	$4$ $4$

Step 5

Subtract

4

$4$ from

5

$5$ .

	$1$ $1$
$4$ $4$	$5$ $5$
$-$ $-$	$4$ $4$
	$1$ $1$

Step 6

The result of division of

\frac{5}{4}

$\frac{5}{4}$ is

1

$1$ with a remainder of

1

$1$ .

1 \frac{1}{4}

$1 \frac{1}{4}$

\frac{15}{12}

$\frac{15}{12}$

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