Solve =0.281(9.8-0.88/0.36)

$$= 0.281 ( 9.8 - \frac { 0.88 } { 0.36 } )$$

Evaluate

$$\frac{93011}{45000}\approx 2.066911111$$

Solution Steps

Expand \frac{0.88}{0.36} by multiplying both numerator and the denominator by 100.

$$0.281\left(9.8-\frac{88}{36}\right)$$

Reduce the fraction \frac{88}{36} to lowest terms by extracting and canceling out 4.

$$0.281\left(9.8-\frac{22}{9}\right)$$

Convert decimal number 9.8 to fraction \frac{98}{10}. Reduce the fraction \frac{98}{10} to lowest terms by extracting and canceling out 2.

$$0.281\left(\frac{49}{5}-\frac{22}{9}\right)$$

Least common multiple of 5 and 9 is 45. Convert \frac{49}{5} and \frac{22}{9} to fractions with denominator 45.

$$0.281\left(\frac{441}{45}-\frac{110}{45}\right)$$

Since \frac{441}{45} and \frac{110}{45} have the same denominator, subtract them by subtracting their numerators.

$$0.281\times \frac{441-110}{45}$$

Subtract 110 from 441 to get 331.

$$0.281\times \frac{331}{45}$$

Convert decimal number 0.281 to fraction \frac{281}{1000}.

$$\frac{281}{1000}\times \frac{331}{45}$$

Multiply \frac{281}{1000} times \frac{331}{45} by multiplying numerator times numerator and denominator times denominator.

$$\frac{281\times 331}{1000\times 45}$$

Do the multiplications in the fraction \frac{281\times 331}{1000\times 45}.

$$\frac{93011}{45000}$$

Factor

$$\frac{281 \cdot 331}{2 ^ {3} \cdot 3 ^ {2} \cdot 5 ^ {4}} = 2\frac{3011}{45000} = 2.066911111111111$$