How to solve (7)/(12-(6)/(12))

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (7)/(12-(6)/(12)) | Equatix

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Question

$$\frac{ 7 }{ 12- \frac{ 6 }{ 12 } }$$

Evaluate

$\frac{14}{23}\approx 0.608695652$

Solution Steps

Reduce the fraction $\frac{6}{12}$ to lowest terms by extracting and canceling out $6$.

$$\frac{7}{12-\frac{1}{2}}$$

Convert $12$ to fraction $\frac{24}{2}$.

$$\frac{7}{\frac{24}{2}-\frac{1}{2}}$$

Since $\frac{24}{2}$ and $\frac{1}{2}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{\frac{24-1}{2}}$$

Subtract $1$ from $24$ to get $23$.

$$\frac{7}{\frac{23}{2}}$$

Divide $7$ by $\frac{23}{2}$ by multiplying $7$ by the reciprocal of $\frac{23}{2}$.

$$7\times \frac{2}{23}$$

Express $7\times \frac{2}{23}$ as a single fraction.

$$\frac{7\times 2}{23}$$

Multiply $7$ and $2$ to get $14$.

$$\frac{14}{23}$$

Show Solution

Factor

$\frac{2 \cdot 7}{23} = 0.6086956521739131$