Basic Math Examples

$160 \div P = 100 \div 0.1$

Step 1

Multiply both sides by $P$ .

$160 \div P P = 100 \div 0.1 P$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Simplify $160 \div P P$ .

Tap for more steps...

Step 2.1.1.1

Rewrite the division as a fraction.

$\frac{160}{P} P = 100 \div 0.1 P$

Step 2.1.1.2

Cancel the common factor of $P$ .

Tap for more steps...

Step 2.1.1.2.1

Cancel the common factor.

$\frac{160}{P} P = 100 \div 0.1 P$

Step 2.1.1.2.2

Rewrite the expression.

$160 = 100 \div 0.1 P$

$160 = 100 \div 0.1 P$

$160 = 100 \div 0.1 P$

$160 = 100 \div 0.1 P$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Divide $100$ by $0.1$ .

$160 = 1000 P$

$160 = 1000 P$

$160 = 1000 P$

Step 3

Solve for $P$ .

Tap for more steps...

Step 3.1

Rewrite the equation as $1000 P = 160$ .

$1000 P = 160$

Step 3.2

Divide each term in $1000 P = 160$ by $1000$ and simplify.

Tap for more steps...

Step 3.2.1

Divide each term in $1000 P = 160$ by $1000$ .

$\frac{1000 P}{1000} = \frac{160}{1000}$

Step 3.2.2

Simplify the left side.

Tap for more steps...

Step 3.2.2.1

Cancel the common factor of $1000$ .

Tap for more steps...

Step 3.2.2.1.1

Cancel the common factor.

$\frac{1000 P}{1000} = \frac{160}{1000}$

Step 3.2.2.1.2

Divide $P$ by $1$ .

$P = \frac{160}{1000}$

$P = \frac{160}{1000}$

$P = \frac{160}{1000}$

Step 3.2.3

Simplify the right side.

Tap for more steps...

Step 3.2.3.1

Cancel the common factor of $160$ and $1000$ .

Tap for more steps...

Step 3.2.3.1.1

Factor $40$ out of $160$ .

$P = \frac{40 (4)}{1000}$

Step 3.2.3.1.2

Cancel the common factors.

Tap for more steps...

Step 3.2.3.1.2.1

Factor $40$ out of $1000$ .

$P = \frac{40 \cdot 4}{40 \cdot 25}$

Step 3.2.3.1.2.2

Cancel the common factor.

$P = \frac{40 \cdot 4}{40 \cdot 25}$

Step 3.2.3.1.2.3

Rewrite the expression.

$P = \frac{4}{25}$

$P = \frac{4}{25}$

$P = \frac{4}{25}$

$P = \frac{4}{25}$

$P = \frac{4}{25}$

$P = \frac{4}{25}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$P = \frac{4}{25}$

Decimal Form:

$P = 0.16$

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