Solve (-1)/(21)-(396)/(462) | 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

$$\frac{ -1 }{ 21 } - \frac{ 396 }{ 462 }$$

Evaluate

$-\frac{19}{21}\approx -0.904761905$

Solution Steps

Fraction $\frac{-1}{21}$ can be rewritten as $-\frac{1}{21}$ by extracting the negative sign.

$$-\frac{1}{21}-\frac{396}{462}$$

Reduce the fraction $\frac{396}{462}$ to lowest terms by extracting and canceling out $66$.

$$-\frac{1}{21}-\frac{6}{7}$$

Least common multiple of $21$ and $7$ is $21$. Convert $-\frac{1}{21}$ and $\frac{6}{7}$ to fractions with denominator $21$.

$$-\frac{1}{21}-\frac{18}{21}$$

Since $-\frac{1}{21}$ and $\frac{18}{21}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-18}{21}$$

Subtract $18$ from $-1$ to get $-19$.

$$-\frac{19}{21}$$

Factor

$-\frac{19}{21} = -0.9047619047619048$