Solve 2*5/6*(-3)/2+(-1)*frac{3{4}}=

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

Evaluate

$$-4$$

Solution Steps

Express 2\times \frac{5}{6} as a single fraction.

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

Multiply 2 and 5 to get 10.

$$\frac{\frac{10}{6}\left(-3\right)}{2-\frac{3}{4}}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

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

Express \frac{5}{3}\left(-3\right) as a single fraction.

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

Multiply 5 and -3 to get -15.

$$\frac{\frac{-15}{3}}{2-\frac{3}{4}}$$

Divide -15 by 3 to get -5.

$$\frac{-5}{2-\frac{3}{4}}$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{-5}{\frac{8}{4}-\frac{3}{4}}$$

Since \frac{8}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5}{\frac{8-3}{4}}$$

Subtract 3 from 8 to get 5.

$$\frac{-5}{\frac{5}{4}}$$

Divide -5 by \frac{5}{4} by multiplying -5 by the reciprocal of \frac{5}{4}.

$$-5\times \frac{4}{5}$$

Multiply -5 times \frac{4}{5}.

$$-4$$

Factor

$$-4$$