Solve 56.52div3*3*3.14*1/3

$$56.52 \div 3 \times 3 \times 3.14 \times \frac{ 1 }{ 3 }$$

Evaluate

$$59.1576$$

Solution Steps

Expand \frac{56.52}{3} by multiplying both numerator and the denominator by 100.

$$\frac{5652}{300}\times 3\times 3.14\times \frac{1}{3}$$

Reduce the fraction \frac{5652}{300} to lowest terms by extracting and canceling out 12.

$$\frac{471}{25}\times 3\times 3.14\times \frac{1}{3}$$

Express \frac{471}{25}\times 3 as a single fraction.

$$\frac{471\times 3}{25}\times 3.14\times \frac{1}{3}$$

Multiply 471 and 3 to get 1413.

$$\frac{1413}{25}\times 3.14\times \frac{1}{3}$$

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1413}{25}\times \frac{157}{50}\times \frac{1}{3}$$

Multiply \frac{1413}{25} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1413\times 157}{25\times 50}\times \frac{1}{3}$$

Do the multiplications in the fraction \frac{1413\times 157}{25\times 50}.

$$\frac{221841}{1250}\times \frac{1}{3}$$

Multiply \frac{221841}{1250} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{221841\times 1}{1250\times 3}$$

Do the multiplications in the fraction \frac{221841\times 1}{1250\times 3}.

$$\frac{221841}{3750}$$

Reduce the fraction \frac{221841}{3750} to lowest terms by extracting and canceling out 3.

$$\frac{73947}{1250}$$

Factor

$$\frac{3 \cdot 157 ^ {2}}{2 \cdot 5 ^ {4}} = 59\frac{197}{1250} = 59.1576$$