Solve 27/5^4*(95/17div7/12)/frac{1{2}}

$$\frac { \frac { 27 } { 5 ^ { 4 } } \times ( \frac { 95 } { 17 } \div \frac { 7 } { 12 } ) } { \frac { 1 } { 2 } }$$

Evaluate

$$\frac{12312}{14875}\approx 0.827697479$$

Solution Steps

Calculate 5 to the power of 4 and get 625.

$$\frac{\frac{27}{625}\times \frac{\frac{95}{17}}{\frac{7}{12}}}{\frac{1}{2}}$$

Divide \frac{95}{17} by \frac{7}{12} by multiplying \frac{95}{17} by the reciprocal of \frac{7}{12}.

$$\frac{\frac{27}{625}\times \frac{95}{17}\times \frac{12}{7}}{\frac{1}{2}}$$

Multiply \frac{95}{17} times \frac{12}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{27}{625}\times \frac{95\times 12}{17\times 7}}{\frac{1}{2}}$$

Do the multiplications in the fraction \frac{95\times 12}{17\times 7}.

$$\frac{\frac{27}{625}\times \frac{1140}{119}}{\frac{1}{2}}$$

Multiply \frac{27}{625} times \frac{1140}{119} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{27\times 1140}{625\times 119}}{\frac{1}{2}}$$

Do the multiplications in the fraction \frac{27\times 1140}{625\times 119}.

$$\frac{\frac{30780}{74375}}{\frac{1}{2}}$$

Reduce the fraction \frac{30780}{74375} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{6156}{14875}}{\frac{1}{2}}$$

Divide \frac{6156}{14875} by \frac{1}{2} by multiplying \frac{6156}{14875} by the reciprocal of \frac{1}{2}.

$$\frac{6156}{14875}\times 2$$

Express \frac{6156}{14875}\times 2 as a single fraction.

$$\frac{6156\times 2}{14875}$$

Multiply 6156 and 2 to get 12312.

$$\frac{12312}{14875}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {4} \cdot 19}{5 ^ {3} \cdot 7 \cdot 17} = 0.8276974789915966$$