Solve 1*5280*12div60div101.5*4.56

$$1 \times 5280 \times 12 \div 60 \div 101.5 \times 4.56$$

Evaluate

$$\frac{240768}{5075}\approx 47.441970443$$

Solution Steps

Express \frac{\frac{1\times 5280\times 12}{60}}{101.5} as a single fraction.

$$\frac{1\times 5280\times 12}{60\times 101.5}\times 4.56$$

Cancel out 60 in both numerator and denominator.

$$\frac{12\times 88}{101.5}\times 4.56$$

Multiply 12 and 88 to get 1056.

$$\frac{1056}{101.5}\times 4.56$$

Expand \frac{1056}{101.5} by multiplying both numerator and the denominator by 10.

$$\frac{10560}{1015}\times 4.56$$

Reduce the fraction \frac{10560}{1015} to lowest terms by extracting and canceling out 5.

$$\frac{2112}{203}\times 4.56$$

Convert decimal number 4.56 to fraction \frac{456}{100}. Reduce the fraction \frac{456}{100} to lowest terms by extracting and canceling out 4.

$$\frac{2112}{203}\times \frac{114}{25}$$

Multiply \frac{2112}{203} times \frac{114}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2112\times 114}{203\times 25}$$

Do the multiplications in the fraction \frac{2112\times 114}{203\times 25}.

$$\frac{240768}{5075}$$

Factor

$$\frac{11 \cdot 19 \cdot 2 ^ {7} \cdot 3 ^ {2}}{7 \cdot 29 \cdot 5 ^ {2}} = 47\frac{2243}{5075} = 47.44197044334975$$