Solve 7.3(5(5.0542)^2/2.17-9.81)

$$7.3 ( \frac { 5 ( 5.0542 ) ^ { 2 } } { 2.17 } - 9.81 )$$

Evaluate

$$\frac{38849500693}{108500000}\approx 358.059914221$$

Solution Steps

Calculate 5.0542 to the power of 2 and get 25.54493764.

$$7.3\left(\frac{5\times 25.54493764}{2.17}-9.81\right)$$

Multiply 5 and 25.54493764 to get 127.7246882.

$$7.3\left(\frac{127.7246882}{2.17}-9.81\right)$$

Expand \frac{127.7246882}{2.17} by multiplying both numerator and the denominator by 10000000.

$$7.3\left(\frac{1277246882}{21700000}-9.81\right)$$

Reduce the fraction \frac{1277246882}{21700000} to lowest terms by extracting and canceling out 2.

$$7.3\left(\frac{638623441}{10850000}-9.81\right)$$

Convert decimal number 9.81 to fraction \frac{981}{100}.

$$7.3\left(\frac{638623441}{10850000}-\frac{981}{100}\right)$$

Least common multiple of 10850000 and 100 is 10850000. Convert \frac{638623441}{10850000} and \frac{981}{100} to fractions with denominator 10850000.

$$7.3\left(\frac{638623441}{10850000}-\frac{106438500}{10850000}\right)$$

Since \frac{638623441}{10850000} and \frac{106438500}{10850000} have the same denominator, subtract them by subtracting their numerators.

$$7.3\times \frac{638623441-106438500}{10850000}$$

Subtract 106438500 from 638623441 to get 532184941.

$$7.3\times \frac{532184941}{10850000}$$

Convert decimal number 7.3 to fraction \frac{73}{10}.

$$\frac{73}{10}\times \frac{532184941}{10850000}$$

Multiply \frac{73}{10} times \frac{532184941}{10850000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{73\times 532184941}{10\times 10850000}$$

Do the multiplications in the fraction \frac{73\times 532184941}{10\times 10850000}.

$$\frac{38849500693}{108500000}$$

Factor

$$\frac{73 \cdot 157 \cdot 3389713}{7 \cdot 31 \cdot 2 ^ {5} \cdot 5 ^ {6}} = 358\frac{6500693}{108500000} = 358.05991422119814$$