Solve 0.8*60%*1.3*2/3*11/2

$$0.8 \cdot 60 \% \cdot 1.3 \cdot \frac { 2 } { 3 } \cdot 1 \frac { 1 } { 2 }$$

Evaluate

$$0.624$$

Solution Steps

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$0.8\times \frac{3}{5}\times 1.3\times \frac{2}{3}\times \frac{1\times 2+1}{2}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}\times \frac{3}{5}\times 1.3\times \frac{2}{3}\times \frac{1\times 2+1}{2}$$

Multiply \frac{4}{5} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 3}{5\times 5}\times 1.3\times \frac{2}{3}\times \frac{1\times 2+1}{2}$$

Do the multiplications in the fraction \frac{4\times 3}{5\times 5}.

$$\frac{12}{25}\times 1.3\times \frac{2}{3}\times \frac{1\times 2+1}{2}$$

Convert decimal number 1.3 to fraction \frac{13}{10}.

$$\frac{12}{25}\times \frac{13}{10}\times \frac{2}{3}\times \frac{1\times 2+1}{2}$$

Multiply \frac{12}{25} times \frac{13}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 13}{25\times 10}\times \frac{2}{3}\times \frac{1\times 2+1}{2}$$

Do the multiplications in the fraction \frac{12\times 13}{25\times 10}.

$$\frac{156}{250}\times \frac{2}{3}\times \frac{1\times 2+1}{2}$$

Reduce the fraction \frac{156}{250} to lowest terms by extracting and canceling out 2.

$$\frac{78}{125}\times \frac{2}{3}\times \frac{1\times 2+1}{2}$$

Multiply \frac{78}{125} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{78\times 2}{125\times 3}\times \frac{1\times 2+1}{2}$$

Do the multiplications in the fraction \frac{78\times 2}{125\times 3}.

$$\frac{156}{375}\times \frac{1\times 2+1}{2}$$

Reduce the fraction \frac{156}{375} to lowest terms by extracting and canceling out 3.

$$\frac{52}{125}\times \frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{52}{125}\times \frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{52}{125}\times \frac{3}{2}$$

Multiply \frac{52}{125} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{52\times 3}{125\times 2}$$

Do the multiplications in the fraction \frac{52\times 3}{125\times 2}.

$$\frac{156}{250}$$

Reduce the fraction \frac{156}{250} to lowest terms by extracting and canceling out 2.

$$\frac{78}{125}$$

Factor

$$\frac{2 \cdot 3 \cdot 13}{5 ^ {3}} = 0.624$$