Solve (1807div0.009)*0.01/100

$$\frac { ( 1807 \div 0.009 ) \times 0.01 } { 100 }$$

Evaluate

$$\frac{1807}{90}\approx 20.077777778$$

Solution Steps

Expand \frac{1807}{0.009} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{1807000}{9}\times 0.01}{100}$$

Convert decimal number 0.01 to fraction \frac{1}{100}.

$$\frac{\frac{1807000}{9}\times \frac{1}{100}}{100}$$

Multiply \frac{1807000}{9} times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1807000\times 1}{9\times 100}}{100}$$

Do the multiplications in the fraction \frac{1807000\times 1}{9\times 100}.

$$\frac{\frac{1807000}{900}}{100}$$

Reduce the fraction \frac{1807000}{900} to lowest terms by extracting and canceling out 100.

$$\frac{\frac{18070}{9}}{100}$$

Express \frac{\frac{18070}{9}}{100} as a single fraction.

$$\frac{18070}{9\times 100}$$

Multiply 9 and 100 to get 900.

$$\frac{18070}{900}$$

Reduce the fraction \frac{18070}{900} to lowest terms by extracting and canceling out 10.

$$\frac{1807}{90}$$

Factor

$$\frac{13 \cdot 139}{2 \cdot 5 \cdot 3 ^ {2}} = 20\frac{7}{90} = 20.07777777777778$$