Solve (3/4*5/6)-4=

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

Evaluate

$$-\frac{27}{8}=-3.375$$

Solution Steps

Multiply \frac{3}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{4\times 6}-4$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 6}.

$$\frac{15}{24}-4$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

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

Convert 4 to fraction \frac{32}{8}.

$$\frac{5}{8}-\frac{32}{8}$$

Since \frac{5}{8} and \frac{32}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-32}{8}$$

Subtract 32 from 5 to get -27.

$$-\frac{27}{8}$$

Factor

$$-\frac{27}{8} = -3\frac{3}{8} = -3.375$$