Solve left(2-3/5right)left(4/3-4right)4/2

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

Evaluate

$$-\frac{112}{15}\approx -7.466666667$$

Solution Steps

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

$$\left(\frac{10}{5}-\frac{3}{5}\right)\left(\frac{4}{3}-4\right)\times \frac{4}{2}$$

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

$$\frac{10-3}{5}\left(\frac{4}{3}-4\right)\times \frac{4}{2}$$

Subtract 3 from 10 to get 7.

$$\frac{7}{5}\left(\frac{4}{3}-4\right)\times \frac{4}{2}$$

Convert 4 to fraction \frac{12}{3}.

$$\frac{7}{5}\left(\frac{4}{3}-\frac{12}{3}\right)\times \frac{4}{2}$$

Since \frac{4}{3} and \frac{12}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{5}\times \frac{4-12}{3}\times \frac{4}{2}$$

Subtract 12 from 4 to get -8.

$$\frac{7}{5}\left(-\frac{8}{3}\right)\times \frac{4}{2}$$

Multiply \frac{7}{5} times -\frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-8\right)}{5\times 3}\times \frac{4}{2}$$

Do the multiplications in the fraction \frac{7\left(-8\right)}{5\times 3}.

$$\frac{-56}{15}\times \frac{4}{2}$$

Fraction \frac{-56}{15} can be rewritten as -\frac{56}{15} by extracting the negative sign.

$$-\frac{56}{15}\times \frac{4}{2}$$

Divide 4 by 2 to get 2.

$$-\frac{56}{15}\times 2$$

Express -\frac{56}{15}\times 2 as a single fraction.

$$\frac{-56\times 2}{15}$$

Multiply -56 and 2 to get -112.

$$\frac{-112}{15}$$

Fraction \frac{-112}{15} can be rewritten as -\frac{112}{15} by extracting the negative sign.

$$-\frac{112}{15}$$

Factor

$$-\frac{112}{15} = -7\frac{7}{15} = -7.466666666666667$$