Solve 5/6=-(1/4+-2/3)=

$$\frac{ 5 }{ 6 } =-( \frac{ 1 }{ 4 } + \frac{ -2 }{ 3 } )=$$

Verify

Solution Steps

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$\frac{5}{6}=-\left(\frac{1}{4}-\frac{2}{3}\right)$$

Least common multiple of 4 and 3 is 12. Convert \frac{1}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{5}{6}=-\left(\frac{3}{12}-\frac{8}{12}\right)$$

Since \frac{3}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{6}=-\frac{3-8}{12}$$

Subtract 8 from 3 to get -5.

$$\frac{5}{6}=-\left(-\frac{5}{12}\right)$$

The opposite of -\frac{5}{12} is \frac{5}{12}.

$$\frac{5}{6}=\frac{5}{12}$$

Least common multiple of 6 and 12 is 12. Convert \frac{5}{6} and \frac{5}{12} to fractions with denominator 12.

$$\frac{10}{12}=\frac{5}{12}$$

Compare \frac{10}{12} and \frac{5}{12}.

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