Pre-Algebra Examples

$1.8 % \cdot 3.6$

Step 1

Convert all of the decimals to reduced fractions.

$\frac{9}{500}, \frac{18}{5}$

Step 2

Find the GCF for the numerators $9, 18$ .

Tap for more steps...

Step 2.1

Find the common factors for the numerical part:

$9, 18$

Step 2.2

The factors for $9$ are $1, 3, 9$ .

Tap for more steps...

Step 2.2.1

The factors for $9$ are all numbers between $1$ and $9$ , which divide $9$ evenly.

Check numbers between $1$ and $9$

Step 2.2.2

Find the factor pairs of $9$ where $x \cdot y = 9$ .

$\begin{array}{c} x & y \\ 1 & 9 \\ 3 & 3 \end{array}$

Step 2.2.3

List the factors for $9$ .

$1, 3, 9$

Step 2.3

The factors for $18$ are $1, 2, 3, 6, 9, 18$ .

Tap for more steps...

Step 2.3.1

The factors for $18$ are all numbers between $1$ and $18$ , which divide $18$ evenly.

Check numbers between $1$ and $18$

Step 2.3.2

Find the factor pairs of $18$ where $x \cdot y = 18$ .

$\begin{array}{c} x & y \\ 1 & 18 \\ 2 & 9 \\ 3 & 6 \end{array}$

Step 2.3.3

List the factors for $18$ .

$1, 2, 3, 6, 9, 18$

Step 2.4

List all the factors for $9, 18$ to find the common factors.

$9$ : $1, 3, 9$

$18$ : $1, 2, 3, 6, 9, 18$

Step 2.5

The common factors for $9, 18$ are $1, 3, 9$ .

$1, 3, 9$

Step 2.6

The GCF (HCF) of the numerical factors $1, 3, 9$ is $9$ .

$9$

Step 3

Find the GCF for the denominators $500, 5$ .

Tap for more steps...

Step 3.1

Find the common factors for the numerical part:

$500, 5$

Step 3.2

The factors for $500$ are $1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500$ .

Tap for more steps...

Step 3.2.1

The factors for $500$ are all numbers between $1$ and $500$ , which divide $500$ evenly.

Check numbers between $1$ and $500$

Step 3.2.2

Find the factor pairs of $500$ where $x \cdot y = 500$ .

$\begin{array}{c} x & y \\ 1 & 500 \\ 2 & 250 \\ 4 & 125 \\ 5 & 100 \\ 10 & 50 \\ 20 & 25 \end{array}$

Step 3.2.3

List the factors for $500$ .

$1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500$

Step 3.3

The factors for $5$ are $1, 5$ .

Tap for more steps...

Step 3.3.1

The factors for $5$ are all numbers between $1$ and $5$ , which divide $5$ evenly.

Check numbers between $1$ and $5$

Step 3.3.2

Find the factor pairs of $5$ where $x \cdot y = 5$ .

$\begin{array}{c} x & y \\ 1 & 5 \end{array}$

Step 3.3.3

List the factors for $5$ .

$1, 5$

Step 3.4

List all the factors for $500, 5$ to find the common factors.

$500$ : $1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500$

$5$ : $1, 5$

Step 3.5

The common factors for $500, 5$ are $1, 5$ .

$1, 5$

Step 3.6

The GCF (HCF) of the numerical factors $1, 5$ is $5$ .

$5$

Step 4

Determine the GCF for $\frac{9}{500}, \frac{18}{5}$ .

$\frac{9}{5}$

Step 5

Convert the GCF $\frac{9}{5}$ to decimal.

$1.8$