How to solve - 6/7 - 2 1/8

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 - 6/7 - 2 1/8 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

$$\frac{-6}{7}-2\frac{1}{8}$$

$-\frac{167}{56}\approx -2.982142857$

Fraction $\frac{-6}{7}$ can be rewritten as $-\frac{6}{7}$ by extracting the negative sign.

$$-\frac{6}{7}-\frac{2\times 8+1}{8}$$

Multiply $2$ and $8$ to get $16$.

$$-\frac{6}{7}-\frac{16+1}{8}$$

Add $16$ and $1$ to get $17$.

$$-\frac{6}{7}-\frac{17}{8}$$

Least common multiple of $7$ and $8$ is $56$. Convert $-\frac{6}{7}$ and $\frac{17}{8}$ to fractions with denominator $56$.

$$-\frac{48}{56}-\frac{119}{56}$$

Since $-\frac{48}{56}$ and $\frac{119}{56}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-48-119}{56}$$

Subtract $119$ from $-48$ to get $-167$.

$$-\frac{167}{56}$$

$-\frac{167}{56} = -2\frac{55}{56} = -2.982142857142857$