Solve 8/3-frac{11{20}}

$$\frac{ 8 }{ 3- \frac{ 11 }{ 20 } }$$

Evaluate

$$\frac{160}{49}\approx 3.265306122$$

Solution Steps

Convert 3 to fraction \frac{60}{20}.

$$\frac{8}{\frac{60}{20}-\frac{11}{20}}$$

Since \frac{60}{20} and \frac{11}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8}{\frac{60-11}{20}}$$

Subtract 11 from 60 to get 49.

$$\frac{8}{\frac{49}{20}}$$

Divide 8 by \frac{49}{20} by multiplying 8 by the reciprocal of \frac{49}{20}.

$$8\times \frac{20}{49}$$

Express 8\times \frac{20}{49} as a single fraction.

$$\frac{8\times 20}{49}$$

Multiply 8 and 20 to get 160.

$$\frac{160}{49}$$

Factor

$$\frac{2 ^ {5} \cdot 5}{7 ^ {2}} = 3\frac{13}{49} = 3.2653061224489797$$