Solve 1.5div5/8*(-5/4)-(-8)

$$1.5 \div \frac { 5 } { 8 } \times ( - \frac { 5 } { 4 } ) - ( - 8 )$$

Evaluate

$$5$$

Solution Steps

Divide 1.5 by \frac{5}{8} by multiplying 1.5 by the reciprocal of \frac{5}{8}.

$$1.5\times \frac{8}{5}\left(-\frac{5}{4}\right)-\left(-8\right)$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

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

Multiply \frac{3}{2} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 8}{2\times 5}.

$$\frac{24}{10}\left(-\frac{5}{4}\right)-\left(-8\right)$$

Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{12}{5}\left(-\frac{5}{4}\right)-\left(-8\right)$$

Multiply \frac{12}{5} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\left(-5\right)}{5\times 4}-\left(-8\right)$$

Do the multiplications in the fraction \frac{12\left(-5\right)}{5\times 4}.

$$\frac{-60}{20}-\left(-8\right)$$

Divide -60 by 20 to get -3.

$$-3-\left(-8\right)$$

The opposite of -8 is 8.

$$-3+8$$

Add -3 and 8 to get 5.

$$5$$

Factor

$$5$$