Solve 5^3(10)-3/-11+5/9

$$5 ^ { 3 } ( 10 ) \frac { - 3 } { - 11 } + \frac { 5 } { 9 }$$

Evaluate

$$\frac{33805}{99}\approx 341.464646465$$

Solution Steps

Calculate 5 to the power of 3 and get 125.

$$125\times 10\times \frac{-3}{-11}+\frac{5}{9}$$

Multiply 125 and 10 to get 1250.

$$1250\times \frac{-3}{-11}+\frac{5}{9}$$

Fraction \frac{-3}{-11} can be simplified to \frac{3}{11} by removing the negative sign from both the numerator and the denominator.

$$1250\times \frac{3}{11}+\frac{5}{9}$$

Express 1250\times \frac{3}{11} as a single fraction.

$$\frac{1250\times 3}{11}+\frac{5}{9}$$

Multiply 1250 and 3 to get 3750.

$$\frac{3750}{11}+\frac{5}{9}$$

Least common multiple of 11 and 9 is 99. Convert \frac{3750}{11} and \frac{5}{9} to fractions with denominator 99.

$$\frac{33750}{99}+\frac{55}{99}$$

Since \frac{33750}{99} and \frac{55}{99} have the same denominator, add them by adding their numerators.

$$\frac{33750+55}{99}$$

Add 33750 and 55 to get 33805.

$$\frac{33805}{99}$$

Factor

$$\frac{5 \cdot 6761}{3 ^ {2} \cdot 11} = 341\frac{46}{99} = 341.4646464646465$$