Basic Math Examples

$(\frac{1}{0.66}) (\frac{1242}{1200} - 1)$

Step 1

Divide $1$ by $0.66$ .

$1.\overline{51} (\frac{1242}{1200} - 1)$

Step 2

Cancel the common factor of $1242$ and $1200$ .

Tap for more steps...

Step 2.1

Factor $6$ out of $1242$ .

$1.\overline{51} (\frac{6 (207)}{1200} - 1)$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $6$ out of $1200$ .

$1.\overline{51} (\frac{6 \cdot 207}{6 \cdot 200} - 1)$

Step 2.2.2

Cancel the common factor.

$1.\overline{51} (\frac{6 \cdot 207}{6 \cdot 200} - 1)$

Step 2.2.3

Rewrite the expression.

$1.\overline{51} (\frac{207}{200} - 1)$

Step 3

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{200}{200}$ .

$1.\overline{51} (\frac{207}{200} - 1 \cdot \frac{200}{200})$

Step 4

Combine $- 1$ and $\frac{200}{200}$ .

$1.\overline{51} (\frac{207}{200} + \frac{- 1 \cdot 200}{200})$

Step 5

Combine the numerators over the common denominator.

$1.\overline{51} \frac{207 - 1 \cdot 200}{200}$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply $- 1$ by $200$ .

$1.\overline{51} \frac{207 - 200}{200}$

Step 6.2

Subtract $200$ from $207$ .

$1.\overline{51} (\frac{7}{200})$

Step 7

Multiply $1.\overline{51} (\frac{7}{200})$ .

Tap for more steps...

Step 7.1

Combine $1.\overline{51}$ and $\frac{7}{200}$ .

$\frac{1.\overline{51} \cdot 7}{200}$

Step 7.2

Multiply $1.\overline{51}$ by $7$ .

$\frac{10.\overline{60}}{200}$

Step 8

Divide $10.\overline{60}$ by $200$ .

$0.05\overline{30}$