How to solve -1/4/27+10/8

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 -1/4/27+10/8 | Equatix

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Question

$$-1/4/27+10/8$$

Evaluate

$\frac{67}{54}\approx 1.240740741$

Solution Steps

Express $\frac{\frac{-1}{4}}{27}$ as a single fraction.

$$\frac{-1}{4\times 27}+\frac{10}{8}$$

Multiply $4$ and $27$ to get $108$.

$$\frac{-1}{108}+\frac{10}{8}$$

Fraction $\frac{-1}{108}$ can be rewritten as $-\frac{1}{108}$ by extracting the negative sign.

$$-\frac{1}{108}+\frac{10}{8}$$

Reduce the fraction $\frac{10}{8}$ to lowest terms by extracting and canceling out $2$.

$$-\frac{1}{108}+\frac{5}{4}$$

Least common multiple of $108$ and $4$ is $108$. Convert $-\frac{1}{108}$ and $\frac{5}{4}$ to fractions with denominator $108$.

$$-\frac{1}{108}+\frac{135}{108}$$

Since $-\frac{1}{108}$ and $\frac{135}{108}$ have the same denominator, add them by adding their numerators.

$$\frac{-1+135}{108}$$

Add $-1$ and $135$ to get $134$.

$$\frac{134}{108}$$

Reduce the fraction $\frac{134}{108}$ to lowest terms by extracting and canceling out $2$.

$$\frac{67}{54}$$

Show Solution

Factor

$\frac{67}{2 \cdot 3 ^ {3}} = 1\frac{13}{54} = 1.2407407407407407$