Solve 1/2*2/3*3/4+(-4

$$\frac { 1 } { 2 } \times \frac { 2 } { 3 } \times \frac { 3 } { 4 } + ( - 4$$

Evaluate

$$-\frac{15}{4}=-3.75$$

Solution Steps

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

$$\frac{1\times 2}{2\times 3}\times \frac{3}{4}-4$$

Cancel out 2 in both numerator and denominator.

$$\frac{1}{3}\times \frac{3}{4}-4$$

Multiply \frac{1}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{3\times 4}-4$$

Cancel out 3 in both numerator and denominator.

$$\frac{1}{4}-4$$

Convert 4 to fraction \frac{16}{4}.

$$\frac{1}{4}-\frac{16}{4}$$

Since \frac{1}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-16}{4}$$

Subtract 16 from 1 to get -15.

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

Factor

$$-\frac{15}{4} = -3\frac{3}{4} = -3.75$$