Solve 2*4^-1*14*3*5/2^-1*10*92=

$$\frac { 2 \cdot 4 ^ { - 1 } \cdot 14 \cdot 3 \cdot 5 } { 2 ^ { - 1 } \cdot 10 \cdot 92 } =$$

Evaluate

$$\frac{21}{92}\approx 0.22826087$$

Solution Steps

Cancel out 2\times 2\times 5 in both numerator and denominator.

$$\frac{3\times 7\times \frac{1}{4}}{46\times \frac{1}{2}}$$

Multiply 3 and 7 to get 21.

$$\frac{21\times \frac{1}{4}}{46\times \frac{1}{2}}$$

Multiply 21 and \frac{1}{4} to get \frac{21}{4}.

$$\frac{\frac{21}{4}}{46\times \frac{1}{2}}$$

Multiply 46 and \frac{1}{2} to get 23.

$$\frac{\frac{21}{4}}{23}$$

Express \frac{\frac{21}{4}}{23} as a single fraction.

$$\frac{21}{4\times 23}$$

Multiply 4 and 23 to get 92.

$$\frac{21}{92}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2} \cdot 23} = 0.22826086956521738$$