Solve (-23/5-5/8)*0,4

$$( - 2 \frac { 3 } { 5 } - \frac { 5 } { 8 } ) \cdot 0,4$$

Evaluate

$$-1,29$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\left(-\frac{10+3}{5}-\frac{5}{8}\right)\times 0,4$$

Add 10 and 3 to get 13.

$$\left(-\frac{13}{5}-\frac{5}{8}\right)\times 0,4$$

Least common multiple of 5 and 8 is 40. Convert -\frac{13}{5} and \frac{5}{8} to fractions with denominator 40.

$$\left(-\frac{104}{40}-\frac{25}{40}\right)\times 0,4$$

Since -\frac{104}{40} and \frac{25}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-104-25}{40}\times 0,4$$

Subtract 25 from -104 to get -129.

$$-\frac{129}{40}\times 0,4$$

Convert decimal number 0,4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{129}{40}\times \frac{2}{5}$$

Multiply -\frac{129}{40} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-129\times 2}{40\times 5}$$

Do the multiplications in the fraction \frac{-129\times 2}{40\times 5}.

$$\frac{-258}{200}$$

Reduce the fraction \frac{-258}{200} to lowest terms by extracting and canceling out 2.

$$-\frac{129}{100}$$

Factor

$$-1,29$$