Solve 4+164/17+3*(4/17)*4/17

$$4+16 \frac{ 4 }{ 17 } +3 \times ( \frac{ 4 }{ 17 } ) \times \frac{ 4 }{ 17 }$$

Evaluate

$$\frac{5896}{289}\approx 20.401384083$$

Solution Steps

Multiply 16 and 17 to get 272.

$$4+\frac{272+4}{17}+3\times \frac{4}{17}\times \frac{4}{17}$$

Add 272 and 4 to get 276.

$$4+\frac{276}{17}+3\times \frac{4}{17}\times \frac{4}{17}$$

Convert 4 to fraction \frac{68}{17}.

$$\frac{68}{17}+\frac{276}{17}+3\times \frac{4}{17}\times \frac{4}{17}$$

Since \frac{68}{17} and \frac{276}{17} have the same denominator, add them by adding their numerators.

$$\frac{68+276}{17}+3\times \frac{4}{17}\times \frac{4}{17}$$

Add 68 and 276 to get 344.

$$\frac{344}{17}+3\times \frac{4}{17}\times \frac{4}{17}$$

Express 3\times \frac{4}{17} as a single fraction.

$$\frac{344}{17}+\frac{3\times 4}{17}\times \frac{4}{17}$$

Multiply 3 and 4 to get 12.

$$\frac{344}{17}+\frac{12}{17}\times \frac{4}{17}$$

Multiply \frac{12}{17} times \frac{4}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{344}{17}+\frac{12\times 4}{17\times 17}$$

Do the multiplications in the fraction \frac{12\times 4}{17\times 17}.

$$\frac{344}{17}+\frac{48}{289}$$

Least common multiple of 17 and 289 is 289. Convert \frac{344}{17} and \frac{48}{289} to fractions with denominator 289.

$$\frac{5848}{289}+\frac{48}{289}$$

Since \frac{5848}{289} and \frac{48}{289} have the same denominator, add them by adding their numerators.

$$\frac{5848+48}{289}$$

Add 5848 and 48 to get 5896.

$$\frac{5896}{289}$$

Factor

$$\frac{2 ^ {3} \cdot 11 \cdot 67}{17 ^ {2}} = 20\frac{116}{289} = 20.401384083044984$$