Solve -53/7*4/5-3/7*4/5

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

Evaluate

$$-\frac{164}{35}\approx -4.685714286$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\left(-\frac{35+3}{7}\right)\times \frac{4}{5}-\frac{3}{7}\times \frac{4}{5}$$

Add 35 and 3 to get 38.

$$-\frac{38}{7}\times \frac{4}{5}-\frac{3}{7}\times \frac{4}{5}$$

Multiply -\frac{38}{7} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-38\times 4}{7\times 5}-\frac{3}{7}\times \frac{4}{5}$$

Do the multiplications in the fraction \frac{-38\times 4}{7\times 5}.

$$\frac{-152}{35}-\frac{3}{7}\times \frac{4}{5}$$

Fraction \frac{-152}{35} can be rewritten as -\frac{152}{35} by extracting the negative sign.

$$-\frac{152}{35}-\frac{3}{7}\times \frac{4}{5}$$

Multiply \frac{3}{7} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{152}{35}-\frac{3\times 4}{7\times 5}$$

Do the multiplications in the fraction \frac{3\times 4}{7\times 5}.

$$-\frac{152}{35}-\frac{12}{35}$$

Since -\frac{152}{35} and \frac{12}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-152-12}{35}$$

Subtract 12 from -152 to get -164.

$$-\frac{164}{35}$$

Factor

$$-\frac{164}{35} = -4\frac{24}{35} = -4.685714285714286$$