How to solve 14 6/8 - 7 2/8

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 14 6/8 - 7 2/8 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$14\frac{6}{8}-7\frac{2}{8}$$

Evaluate

$\frac{15}{2}=7.5$

Solution Steps

Multiply $14$ and $8$ to get $112$.

$$\frac{112+6}{8}-\frac{7\times 8+2}{8}$$

Add $112$ and $6$ to get $118$.

$$\frac{118}{8}-\frac{7\times 8+2}{8}$$

Reduce the fraction $\frac{118}{8}$ to lowest terms by extracting and canceling out $2$.

$$\frac{59}{4}-\frac{7\times 8+2}{8}$$

Multiply $7$ and $8$ to get $56$.

$$\frac{59}{4}-\frac{56+2}{8}$$

Add $56$ and $2$ to get $58$.

$$\frac{59}{4}-\frac{58}{8}$$

Reduce the fraction $\frac{58}{8}$ to lowest terms by extracting and canceling out $2$.

$$\frac{59}{4}-\frac{29}{4}$$

Since $\frac{59}{4}$ and $\frac{29}{4}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{59-29}{4}$$

Subtract $29$ from $59$ to get $30$.

$$\frac{30}{4}$$

Reduce the fraction $\frac{30}{4}$ to lowest terms by extracting and canceling out $2$.

$$\frac{15}{2}$$

Show Solution

Factor

$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$