Solve e ) - 3/4 + 1/8 - 0.5 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$- \frac { 3 } { 4 } + \frac { 1 } { 8 } - 0.5$$

Evaluate

$-1.125$

Solution Steps

Least common multiple of $4$ and $8$ is $8$. Convert $-\frac{3}{4}$ and $\frac{1}{8}$ to fractions with denominator $8$.

$$-\frac{6}{8}+\frac{1}{8}-0.5$$

Since $-\frac{6}{8}$ and $\frac{1}{8}$ have the same denominator, add them by adding their numerators.

$$\frac{-6+1}{8}-0.5$$

Add $-6$ and $1$ to get $-5$.

$$-\frac{5}{8}-0.5$$

Convert decimal number $0.5$ to fraction $\frac{5}{10}$. Reduce the fraction $\frac{5}{10}$ to lowest terms by extracting and canceling out $5$.

$$-\frac{5}{8}-\frac{1}{2}$$

Least common multiple of $8$ and $2$ is $8$. Convert $-\frac{5}{8}$ and $\frac{1}{2}$ to fractions with denominator $8$.

$$-\frac{5}{8}-\frac{4}{8}$$

Since $-\frac{5}{8}$ and $\frac{4}{8}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-4}{8}$$

Subtract $4$ from $-5$ to get $-9$.

$$-\frac{9}{8}$$

Factor

$-1.125$