Basic Math Examples

$\frac{1157 - 94 \frac{64.5 - 94 A}{6}}{6}$

Step 1

Factor $0.5$ out of $64.5 - 94 A$ .

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Step 1.1

Factor $0.5$ out of $64.5$ .

$\frac{1157 - 94 \frac{0.5 (129) - 94 A}{6}}{6}$

Step 1.2

Factor $0.5$ out of $- 94 A$ .

$\frac{1157 - 94 \frac{0.5 (129) + 0.5 (- 188 A)}{6}}{6}$

Step 1.3

Factor $0.5$ out of $0.5 (129) + 0.5 (- 188 A)$ .

$\frac{1157 - 94 \frac{0.5 (129 - 188 A)}{6}}{6}$

Step 2

Simplify the numerator.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Factor $2$ out of $- 94$ .

$\frac{1157 + 2 (- 47) \frac{0.5 (129 - 188 A)}{6}}{6}$

Step 2.1.2

Factor $2$ out of $6$ .

$\frac{1157 + 2 \cdot - 47 \frac{0.5 (129 - 188 A)}{2 \cdot 3}}{6}$

Step 2.1.3

Cancel the common factor.

$\frac{1157 + 2 \cdot - 47 \frac{0.5 (129 - 188 A)}{2 \cdot 3}}{6}$

Step 2.1.4

Rewrite the expression.

$\frac{1157 - 47 \frac{0.5 (129 - 188 A)}{3}}{6}$

Step 2.2

Combine $- 47$ and $\frac{0.5 (129 - 188 A)}{3}$ .

$\frac{1157 + \frac{- 47 (0.5 (129 - 188 A))}{3}}{6}$

Step 2.3

Multiply $0.5$ by $- 47$ .

$\frac{1157 + \frac{- 23.5 (129 - 188 A)}{3}}{6}$

Step 2.4

Move the negative in front of the fraction.

$\frac{1157 - \frac{23.5 (129 - 188 A)}{3}}{6}$

Step 2.5

Factor $3$ out of $3$ .

$\frac{1157 - \frac{23.5 (129 - 188 A)}{3 (1)}}{6}$

Step 2.6

Separate fractions.

$\frac{1157 - (\frac{23.5}{3} \cdot \frac{129 - 188 A}{1})}{6}$

Step 2.7

Divide $23.5$ by $3$ .

$\frac{1157 - (7.8\overline{3} \frac{129 - 188 A}{1})}{6}$

Step 2.8

Divide $129 - 188 A$ by $1$ .

$\frac{1157 - (7.8\overline{3} (129 - 188 A))}{6}$

Step 2.9

Apply the distributive property.

$\frac{1157 - (7.8\overline{3} \cdot 129 + 7.8\overline{3} (- 188 A))}{6}$

Step 2.10

Multiply $7.8\overline{3}$ by $129$ .

$\frac{1157 - (1010.5 + 7.8\overline{3} (- 188 A))}{6}$

Step 2.11

Multiply $- 188$ by $7.8\overline{3}$ .

$\frac{1157 - (1010.5 - 1472.\overline{6} A)}{6}$

Step 2.12

Apply the distributive property.

$\frac{1157 - 1 \cdot 1010.5 - (- 1472.\overline{6} A)}{6}$

Step 2.13

Multiply $- 1$ by $1010.5$ .

$\frac{1157 - 1010.5 - (- 1472.\overline{6} A)}{6}$

Step 2.14

Multiply $- 1472.\overline{6}$ by $- 1$ .

$\frac{1157 - 1010.5 + 1472.\overline{6} A}{6}$

Step 2.15

Subtract $1010.5$ from $1157$ .

$\frac{146.5 + 1472.\overline{6} A}{6}$