Basic Math Examples

$\frac{1157 - 94 \frac{64.5 - 94 A}{6}}{6} = 0$

Step 1

Set the numerator equal to zero.

$1157 - 94 \frac{64.5 - 94 A}{6} = 0$

Step 2

Solve the equation for $A$ .

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Step 2.1

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

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

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

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Step 2.1.1.1.1

Factor $0.5$ out of $64.5$ .

$1157 - 94 \frac{0.5 (129) - 94 A}{6} = 0$

Step 2.1.1.1.2

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

$1157 - 94 \frac{0.5 (129) + 0.5 (- 188 A)}{6} = 0$

Step 2.1.1.1.3

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

$1157 - 94 \frac{0.5 (129 - 188 A)}{6} = 0$

Step 2.1.1.2

Cancel the common factor of $2$ .

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Step 2.1.1.2.1

Factor $2$ out of $- 94$ .

$1157 + 2 (- 47) \frac{0.5 (129 - 188 A)}{6} = 0$

Step 2.1.1.2.2

Factor $2$ out of $6$ .

$1157 + 2 \cdot - 47 \frac{0.5 (129 - 188 A)}{2 \cdot 3} = 0$

Step 2.1.1.2.3

Cancel the common factor.

$1157 + 2 \cdot - 47 \frac{0.5 (129 - 188 A)}{2 \cdot 3} = 0$

Step 2.1.1.2.4

Rewrite the expression.

$1157 - 47 \frac{0.5 (129 - 188 A)}{3} = 0$

Step 2.1.1.3

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

$1157 + \frac{- 47 (0.5 (129 - 188 A))}{3} = 0$

Step 2.1.1.4

Multiply $0.5$ by $- 47$ .

$1157 + \frac{- 23.5 (129 - 188 A)}{3} = 0$

Step 2.1.1.5

Move the negative in front of the fraction.

$1157 - \frac{23.5 (129 - 188 A)}{3} = 0$

Step 2.1.1.6

Factor $3$ out of $3$ .

$1157 - \frac{23.5 (129 - 188 A)}{3 (1)} = 0$

Step 2.1.1.7

Separate fractions.

$1157 - (\frac{23.5}{3} \cdot \frac{129 - 188 A}{1}) = 0$

Step 2.1.1.8

Divide $23.5$ by $3$ .

$1157 - (7.8\overline{3} \frac{129 - 188 A}{1}) = 0$

Step 2.1.1.9

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

$1157 - (7.8\overline{3} (129 - 188 A)) = 0$

Step 2.1.1.10

Apply the distributive property.

$1157 - (7.8\overline{3} \cdot 129 + 7.8\overline{3} (- 188 A)) = 0$

Step 2.1.1.11

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

$1157 - (1010.5 + 7.8\overline{3} (- 188 A)) = 0$

Step 2.1.1.12

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

$1157 - (1010.5 - 1472.\overline{6} A) = 0$

Step 2.1.1.13

Apply the distributive property.

$1157 - 1 \cdot 1010.5 - (- 1472.\overline{6} A) = 0$

Step 2.1.1.14

Multiply $- 1$ by $1010.5$ .

$1157 - 1010.5 - (- 1472.\overline{6} A) = 0$

Step 2.1.1.15

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

$1157 - 1010.5 + 1472.\overline{6} A = 0$

Step 2.1.2

Subtract $1010.5$ from $1157$ .

$146.5 + 1472.\overline{6} A = 0$

Step 2.2

Subtract $146.5$ from both sides of the equation.

$1472.\overline{6} A = - 146.5$

Step 2.3

Divide each term in $1472.\overline{6} A = - 146.5$ by $1472.\overline{6}$ and simplify.

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Step 2.3.1

Divide each term in $1472.\overline{6} A = - 146.5$ by $1472.\overline{6}$ .

$\frac{1472.\overline{6} A}{1472.\overline{6}} = \frac{- 146.5}{1472.\overline{6}}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $1472.\overline{6}$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{1472.\overline{6} A}{1472.\overline{6}} = \frac{- 146.5}{1472.\overline{6}}$

Step 2.3.2.1.2

Divide $A$ by $1$ .

$A = \frac{- 146.5}{1472.\overline{6}}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Divide $- 146.5$ by $1472.\overline{6}$ .

$A = - 0.0994794$