Solve 4*2/3*0.25*23/8=

$$4 \times \frac { 2 } { 3 } \times 0.25 \times 2 \frac { 3 } { 8 } =$$

Evaluate

$$\frac{19}{12}\approx 1.583333333$$

Solution Steps

Express 4\times \frac{2}{3} as a single fraction.

$$\frac{4\times 2}{3}\times 0.25\times \frac{2\times 8+3}{8}$$

Multiply 4 and 2 to get 8.

$$\frac{8}{3}\times 0.25\times \frac{2\times 8+3}{8}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{8}{3}\times \frac{1}{4}\times \frac{2\times 8+3}{8}$$

Multiply \frac{8}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 1}{3\times 4}\times \frac{2\times 8+3}{8}$$

Do the multiplications in the fraction \frac{8\times 1}{3\times 4}.

$$\frac{8}{12}\times \frac{2\times 8+3}{8}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}\times \frac{2\times 8+3}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{2}{3}\times \frac{16+3}{8}$$

Add 16 and 3 to get 19.

$$\frac{2}{3}\times \frac{19}{8}$$

Multiply \frac{2}{3} times \frac{19}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 19}{3\times 8}$$

Do the multiplications in the fraction \frac{2\times 19}{3\times 8}.

$$\frac{38}{24}$$

Reduce the fraction \frac{38}{24} to lowest terms by extracting and canceling out 2.

$$\frac{19}{12}$$

Factor

$$\frac{19}{3 \cdot 2 ^ {2}} = 1\frac{7}{12} = 1.5833333333333333$$