Solve 3/5-4/3*6/4

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

Evaluate

$$-\frac{7}{5}=-1.4$$

Solution Steps

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{4}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 3 in both numerator and denominator.

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

Divide 4 by 2 to get 2.

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

Convert 2 to fraction \frac{10}{5}.

$$\frac{3}{5}-\frac{10}{5}$$

Since \frac{3}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-10}{5}$$

Subtract 10 from 3 to get -7.

$$-\frac{7}{5}$$

Factor

$$-\frac{7}{5} = -1\frac{2}{5} = -1.4$$