Solve (-2,6)^2-(-3,2)*(-3/8)+(-6,56)

$$( - 2,6 ) ^ { 2 } - ( - 3,2 ) \cdot ( - \frac { 3 } { 8 } ) + ( - 6,56 )$$

Evaluate

$$-1$$

Solution Steps

Calculate -2,6 to the power of 2 and get 6,76.

$$6,76-\left(-3,2\left(-\frac{3}{8}\right)\right)-6,56$$

Convert decimal number -3,2 to fraction -\frac{32}{10}. Reduce the fraction -\frac{32}{10} to lowest terms by extracting and canceling out 2.

$$6,76-\left(-\frac{16}{5}\left(-\frac{3}{8}\right)\right)-6,56$$

Multiply -\frac{16}{5} times -\frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$6,76-\frac{-16\left(-3\right)}{5\times 8}-6,56$$

Do the multiplications in the fraction \frac{-16\left(-3\right)}{5\times 8}.

$$6,76-\frac{48}{40}-6,56$$

Reduce the fraction \frac{48}{40} to lowest terms by extracting and canceling out 8.

$$6,76-\frac{6}{5}-6,56$$

Convert decimal number 6,76 to fraction \frac{676}{100}. Reduce the fraction \frac{676}{100} to lowest terms by extracting and canceling out 4.

$$\frac{169}{25}-\frac{6}{5}-6,56$$

Least common multiple of 25 and 5 is 25. Convert \frac{169}{25} and \frac{6}{5} to fractions with denominator 25.

$$\frac{169}{25}-\frac{30}{25}-6,56$$

Since \frac{169}{25} and \frac{30}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{169-30}{25}-6,56$$

Subtract 30 from 169 to get 139.

$$\frac{139}{25}-6,56$$

Convert decimal number 6,56 to fraction \frac{656}{100}. Reduce the fraction \frac{656}{100} to lowest terms by extracting and canceling out 4.

$$\frac{139}{25}-\frac{164}{25}$$

Since \frac{139}{25} and \frac{164}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{139-164}{25}$$

Subtract 164 from 139 to get -25.

$$\frac{-25}{25}$$

Divide -25 by 25 to get -1.

$$-1$$

Factor

$$-1$$