Solve 15/16/frac{5{17}}

$$\frac { \frac { 15 } { 16 } } { \frac { 5 } { 17 } }$$

Evaluate

$$\frac{51}{16}=3.1875$$

Solution Steps

Divide \frac{15}{16} by \frac{5}{17} by multiplying \frac{15}{16} by the reciprocal of \frac{5}{17}.

$$\frac{15}{16}\times \frac{17}{5}$$

Multiply \frac{15}{16} times \frac{17}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 17}{16\times 5}$$

Do the multiplications in the fraction \frac{15\times 17}{16\times 5}.

$$\frac{255}{80}$$

Reduce the fraction \frac{255}{80} to lowest terms by extracting and canceling out 5.

$$\frac{51}{16}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {4}} = 3\frac{3}{16} = 3.1875$$