Solve 35/14/frac{17{42}}

$$\frac { 3 \frac { 5 } { 14 } } { \frac { 17 } { 42 } }$$

Evaluate

$$\frac{141}{17}\approx 8.294117647$$

Solution Steps

Divide \frac{3\times 14+5}{14} by \frac{17}{42} by multiplying \frac{3\times 14+5}{14} by the reciprocal of \frac{17}{42}.

$$\frac{\left(3\times 14+5\right)\times 42}{14\times 17}$$

Cancel out 14 in both numerator and denominator.

$$\frac{3\left(5+3\times 14\right)}{17}$$

Multiply 3 and 14 to get 42.

$$\frac{3\left(5+42\right)}{17}$$

Add 5 and 42 to get 47.

$$\frac{3\times 47}{17}$$

Multiply 3 and 47 to get 141.

$$\frac{141}{17}$$

Factor

$$\frac{3 \cdot 47}{17} = 8\frac{5}{17} = 8.294117647058824$$