Solve (-(11)/(21))-(-(1)/(7)) | 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

$$(- \frac{ 11 }{ 21 } )-(- \frac{ 1 }{ 7 } )$$

Evaluate

$-\frac{8}{21}\approx -0.380952381$

Solution Steps

The opposite of $-\frac{1}{7}$ is $\frac{1}{7}$.

$$-\frac{11}{21}+\frac{1}{7}$$

Least common multiple of $21$ and $7$ is $21$. Convert $-\frac{11}{21}$ and $\frac{1}{7}$ to fractions with denominator $21$.

$$-\frac{11}{21}+\frac{3}{21}$$

Since $-\frac{11}{21}$ and $\frac{3}{21}$ have the same denominator, add them by adding their numerators.

$$\frac{-11+3}{21}$$

Add $-11$ and $3$ to get $-8$.

$$-\frac{8}{21}$$

Factor

$-\frac{8}{21} = -0.38095238095238093$