Solve =40.17-52/7*9.32/2*0.55*2.646

$$= \frac { 40.17 - \frac { 52 } { 7 } \times 9.32 } { 2 \times 0.55 \times 2.646 }$$

Evaluate

$$-\frac{1017250}{101871}\approx -9.985668149$$

Solution Steps

Convert decimal number 9.32 to fraction \frac{932}{100}. Reduce the fraction \frac{932}{100} to lowest terms by extracting and canceling out 4.

$$\frac{40.17-\frac{52}{7}\times \frac{233}{25}}{2\times 0.55\times 2.646}$$

Multiply \frac{52}{7} times \frac{233}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{40.17-\frac{52\times 233}{7\times 25}}{2\times 0.55\times 2.646}$$

Do the multiplications in the fraction \frac{52\times 233}{7\times 25}.

$$\frac{40.17-\frac{12116}{175}}{2\times 0.55\times 2.646}$$

Convert decimal number 40.17 to fraction \frac{4017}{100}.

$$\frac{\frac{4017}{100}-\frac{12116}{175}}{2\times 0.55\times 2.646}$$

Least common multiple of 100 and 175 is 700. Convert \frac{4017}{100} and \frac{12116}{175} to fractions with denominator 700.

$$\frac{\frac{28119}{700}-\frac{48464}{700}}{2\times 0.55\times 2.646}$$

Since \frac{28119}{700} and \frac{48464}{700} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{28119-48464}{700}}{2\times 0.55\times 2.646}$$

Subtract 48464 from 28119 to get -20345.

$$\frac{\frac{-20345}{700}}{2\times 0.55\times 2.646}$$

Reduce the fraction \frac{-20345}{700} to lowest terms by extracting and canceling out 5.

$$\frac{-\frac{4069}{140}}{2\times 0.55\times 2.646}$$

Multiply 2 and 0.55 to get 1.1.

$$\frac{-\frac{4069}{140}}{1.1\times 2.646}$$

Multiply 1.1 and 2.646 to get 2.9106.

$$\frac{-\frac{4069}{140}}{2.9106}$$

Express \frac{-\frac{4069}{140}}{2.9106} as a single fraction.

$$\frac{-4069}{140\times 2.9106}$$

Multiply 140 and 2.9106 to get 407.484.

$$\frac{-4069}{407.484}$$

Expand \frac{-4069}{407.484} by multiplying both numerator and the denominator by 1000.

$$\frac{-4069000}{407484}$$

Reduce the fraction \frac{-4069000}{407484} to lowest terms by extracting and canceling out 4.

$$-\frac{1017250}{101871}$$

Factor

$$-\frac{1017250}{101871} = -9\frac{100411}{101871} = -9.985668148933454$$