Solve 1/3*(-7/2)+2=5/6

$$\frac { 1 } { 3 } \cdot ( - \frac { 7 } { 2 } ) + 2 = \frac { 5 } { 6 }$$

Verify

Solution Steps

Multiply \frac{1}{3} times -\frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-7\right)}{3\times 2}+2=\frac{5}{6}$$

Do the multiplications in the fraction \frac{1\left(-7\right)}{3\times 2}.

$$\frac{-7}{6}+2=\frac{5}{6}$$

Fraction \frac{-7}{6} can be rewritten as -\frac{7}{6} by extracting the negative sign.

$$-\frac{7}{6}+2=\frac{5}{6}$$

Convert 2 to fraction \frac{12}{6}.

$$-\frac{7}{6}+\frac{12}{6}=\frac{5}{6}$$

Since -\frac{7}{6} and \frac{12}{6} have the same denominator, add them by adding their numerators.

$$\frac{-7+12}{6}=\frac{5}{6}$$

Add -7 and 12 to get 5.

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

Compare \frac{5}{6} and \frac{5}{6}.

$$\text{true}$$