Solve 2*4^-1*14*3*5/2^-1*10*9.2=

$$\frac { 2 \cdot 4 ^ { - 1 } \cdot 14 \cdot 3 \cdot 5 } { 2 ^ { - 1 } \cdot 10 \cdot 9.2 } =$$

Evaluate

$$\frac{105}{46}\approx 2.282608696$$

Solution Steps

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

$$\frac{3\times 14\times \frac{1}{4}}{9.2\times \frac{1}{2}}$$

Multiply 3 and 14 to get 42.

$$\frac{42\times \frac{1}{4}}{9.2\times \frac{1}{2}}$$

Multiply 42 and \frac{1}{4} to get \frac{21}{2}.

$$\frac{\frac{21}{2}}{9.2\times \frac{1}{2}}$$

Multiply 9.2 and \frac{1}{2} to get \frac{23}{5}.

$$\frac{\frac{21}{2}}{\frac{23}{5}}$$

Divide \frac{21}{2} by \frac{23}{5} by multiplying \frac{21}{2} by the reciprocal of \frac{23}{5}.

$$\frac{21}{2}\times \frac{5}{23}$$

Multiply \frac{21}{2} and \frac{5}{23} to get \frac{105}{46}.

$$\frac{105}{46}$$

Factor

$$\frac{3 \cdot 5 \cdot 7}{2 \cdot 23} = 2\frac{13}{46} = 2.282608695652174$$