Solve 17/2/3frac{7{6}}

$$\frac { 1 \frac { 7 } { 2 } } { 3 \frac { 7 } { 6 } }$$

Evaluate

$$\frac{27}{25}=1.08$$

Solution Steps

Divide \frac{1\times 2+7}{2} by \frac{3\times 6+7}{6} by multiplying \frac{1\times 2+7}{2} by the reciprocal of \frac{3\times 6+7}{6}.

$$\frac{\left(1\times 2+7\right)\times 6}{2\left(3\times 6+7\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\left(2+7\right)}{7+3\times 6}$$

Add 2 and 7 to get 9.

$$\frac{3\times 9}{7+3\times 6}$$

Multiply 3 and 9 to get 27.

$$\frac{27}{7+3\times 6}$$

Multiply 3 and 6 to get 18.

$$\frac{27}{7+18}$$

Add 7 and 18 to get 25.

$$\frac{27}{25}$$

Factor

$$\frac{3 ^ {3}}{5 ^ {2}} = 1\frac{2}{25} = 1.08$$