Solve 3.14*36*0.8div3*2.4=

$$3.14 \times 36 \times 0.8 \div 3 \times 2.4=$$

Evaluate

$$72.3456$$

Solution Steps

Multiply 3.14 and 36 to get 113.04.

$$\frac{113.04\times 0.8}{3}\times 2.4$$

Multiply 113.04 and 0.8 to get 90.432.

$$\frac{90.432}{3}\times 2.4$$

Expand \frac{90.432}{3} by multiplying both numerator and the denominator by 1000.

$$\frac{90432}{3000}\times 2.4$$

Reduce the fraction \frac{90432}{3000} to lowest terms by extracting and canceling out 24.

$$\frac{3768}{125}\times 2.4$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3768}{125}\times \frac{12}{5}$$

Multiply \frac{3768}{125} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3768\times 12}{125\times 5}$$

Do the multiplications in the fraction \frac{3768\times 12}{125\times 5}.

$$\frac{45216}{625}$$

Factor

$$\frac{157 \cdot 2 ^ {5} \cdot 3 ^ {2}}{5 ^ {4}} = 72\frac{216}{625} = 72.3456$$