Solve 5left(5(24/31)-3right)/3

$$\frac{ 5 \left( 5( \frac{ 24 }{ 31 } )-3 \right) }{ 3 }$$

Evaluate

$$\frac{45}{31}\approx 1.451612903$$

Solution Steps

Express 5\times \frac{24}{31} as a single fraction.

$$\frac{5\left(\frac{5\times 24}{31}-3\right)}{3}$$

Multiply 5 and 24 to get 120.

$$\frac{5\left(\frac{120}{31}-3\right)}{3}$$

Convert 3 to fraction \frac{93}{31}.

$$\frac{5\left(\frac{120}{31}-\frac{93}{31}\right)}{3}$$

Since \frac{120}{31} and \frac{93}{31} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5\times \frac{120-93}{31}}{3}$$

Subtract 93 from 120 to get 27.

$$\frac{5\times \frac{27}{31}}{3}$$

Express 5\times \frac{27}{31} as a single fraction.

$$\frac{\frac{5\times 27}{31}}{3}$$

Multiply 5 and 27 to get 135.

$$\frac{\frac{135}{31}}{3}$$

Express \frac{\frac{135}{31}}{3} as a single fraction.

$$\frac{135}{31\times 3}$$

Multiply 31 and 3 to get 93.

$$\frac{135}{93}$$

Reduce the fraction \frac{135}{93} to lowest terms by extracting and canceling out 3.

$$\frac{45}{31}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{31} = 1\frac{14}{31} = 1.4516129032258065$$