Solve 3/2*25,6div8div3

$$\frac { 3 } { 2 } \times 25,6 \div 8 \div 3$$

Evaluate

$$1,6$$

Solution Steps

Express \frac{\frac{\frac{3}{2}\times 25,6}{8}}{3} as a single fraction.

$$\frac{\frac{3}{2}\times 25,6}{8\times 3}$$

Convert decimal number 25,6 to fraction \frac{256}{10}. Reduce the fraction \frac{256}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{3}{2}\times \frac{128}{5}}{8\times 3}$$

Multiply \frac{3}{2} times \frac{128}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 128}{2\times 5}}{8\times 3}$$

Do the multiplications in the fraction \frac{3\times 128}{2\times 5}.

$$\frac{\frac{384}{10}}{8\times 3}$$

Reduce the fraction \frac{384}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{192}{5}}{8\times 3}$$

Multiply 8 and 3 to get 24.

$$\frac{\frac{192}{5}}{24}$$

Express \frac{\frac{192}{5}}{24} as a single fraction.

$$\frac{192}{5\times 24}$$

Multiply 5 and 24 to get 120.

$$\frac{192}{120}$$

Reduce the fraction \frac{192}{120} to lowest terms by extracting and canceling out 24.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$