Solve 5+1/3/1-1/27

$$\frac { 5 + 1 / 3 } { 1 - 1 / 27 }$$

Evaluate

$$\frac{72}{13}\approx 5.538461538$$

Solution Steps

Convert 5 to fraction \frac{15}{3}.

$$\frac{\frac{15}{3}+\frac{1}{3}}{1-\frac{1}{27}}$$

Since \frac{15}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{15+1}{3}}{1-\frac{1}{27}}$$

Add 15 and 1 to get 16.

$$\frac{\frac{16}{3}}{1-\frac{1}{27}}$$

Convert 1 to fraction \frac{27}{27}.

$$\frac{\frac{16}{3}}{\frac{27}{27}-\frac{1}{27}}$$

Since \frac{27}{27} and \frac{1}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{16}{3}}{\frac{27-1}{27}}$$

Subtract 1 from 27 to get 26.

$$\frac{\frac{16}{3}}{\frac{26}{27}}$$

Divide \frac{16}{3} by \frac{26}{27} by multiplying \frac{16}{3} by the reciprocal of \frac{26}{27}.

$$\frac{16}{3}\times \frac{27}{26}$$

Multiply \frac{16}{3} times \frac{27}{26} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 27}{3\times 26}$$

Do the multiplications in the fraction \frac{16\times 27}{3\times 26}.

$$\frac{432}{78}$$

Reduce the fraction \frac{432}{78} to lowest terms by extracting and canceling out 6.

$$\frac{72}{13}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2}}{13} = 5\frac{7}{13} = 5.538461538461538$$