Solve 1/24*2.65-1/1*9.8*(0.05/1000)^2/10^-6

$$\frac { 1 } { 24 } \times \frac { 2.65 - 1 } { 1 } \times 9.8 \times \frac { ( 0.05 / 1000 ) ^ { 2 } } { 10 ^ { - 6 } }$$

Evaluate

$$0.001684375$$

Solution Steps

Subtract 1 from 2.65 to get 1.65.

$$\frac{1}{24}\times \frac{1.65}{1}\times 9.8\times \frac{\left(\frac{0.05}{1000}\right)^{2}}{10^{-6}}$$

Anything divided by one gives itself.

$$\frac{1}{24}\times 1.65\times 9.8\times \frac{\left(\frac{0.05}{1000}\right)^{2}}{10^{-6}}$$

Multiply \frac{1}{24} and 1.65 to get \frac{11}{160}.

$$\frac{11}{160}\times 9.8\times \frac{\left(\frac{0.05}{1000}\right)^{2}}{10^{-6}}$$

Multiply \frac{11}{160} and 9.8 to get \frac{539}{800}.

$$\frac{539}{800}\times \frac{\left(\frac{0.05}{1000}\right)^{2}}{10^{-6}}$$

Expand \frac{0.05}{1000} by multiplying both numerator and the denominator by 100.

$$\frac{539}{800}\times \frac{\left(\frac{5}{100000}\right)^{2}}{10^{-6}}$$

Reduce the fraction \frac{5}{100000} to lowest terms by extracting and canceling out 5.

$$\frac{539}{800}\times \frac{\left(\frac{1}{20000}\right)^{2}}{10^{-6}}$$

Calculate \frac{1}{20000} to the power of 2 and get \frac{1}{400000000}.

$$\frac{539}{800}\times \frac{\frac{1}{400000000}}{10^{-6}}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{539}{800}\times \frac{\frac{1}{400000000}}{\frac{1}{1000000}}$$

Divide \frac{1}{400000000} by \frac{1}{1000000} by multiplying \frac{1}{400000000} by the reciprocal of \frac{1}{1000000}.

$$\frac{539}{800}\times \frac{1}{400000000}\times 1000000$$

Multiply \frac{1}{400000000} and 1000000 to get \frac{1}{400}.

$$\frac{539}{800}\times \frac{1}{400}$$

Multiply \frac{539}{800} and \frac{1}{400} to get \frac{539}{320000}.

$$\frac{539}{320000}$$

Factor

$$\frac{11 \cdot 7 ^ {2}}{2 ^ {9} \cdot 5 ^ {4}} = 0.001684375$$