Solve -(7)/(20)-((-1)/(10)) | 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

$$- \frac{ 7 }{ 20 } -( \frac{ -1 }{ 10 } )$$

Evaluate

$-\frac{1}{4}=-0.25$

Solution Steps

Fraction $\frac{-1}{10}$ can be rewritten as $-\frac{1}{10}$ by extracting the negative sign.

$$-\frac{7}{20}-\left(-\frac{1}{10}\right)$$

The opposite of $-\frac{1}{10}$ is $\frac{1}{10}$.

$$-\frac{7}{20}+\frac{1}{10}$$

Least common multiple of $20$ and $10$ is $20$. Convert $-\frac{7}{20}$ and $\frac{1}{10}$ to fractions with denominator $20$.

$$-\frac{7}{20}+\frac{2}{20}$$

Since $-\frac{7}{20}$ and $\frac{2}{20}$ have the same denominator, add them by adding their numerators.

$$\frac{-7+2}{20}$$

Add $-7$ and $2$ to get $-5$.

$$\frac{-5}{20}$$

Reduce the fraction $\frac{-5}{20}$ to lowest terms by extracting and canceling out $5$.

$$-\frac{1}{4}$$

Factor

$-\frac{1}{4} = -0.25$