Solve 0.850*8.3*10^2*9/0.5*0.5*1.23*10^4

$$\frac { 0.850 \times 8.3 \times 10 ^ { 2 } \times 9 } { 0.5 \times 0.5 \times 1.23 \times 10 ^ { 4 } }$$

Evaluate

$$\frac{4233}{2050}\approx 2.064878049$$

Solution Steps

Cancel out 10^{2} in both numerator and denominator.

$$\frac{0.85\times 8.3\times 9}{0.5\times 0.5\times 1.23\times 10^{2}}$$

Multiply 0.85 and 8.3 to get 7.055.

$$\frac{7.055\times 9}{0.5\times 0.5\times 1.23\times 10^{2}}$$

Multiply 7.055 and 9 to get 63.495.

$$\frac{63.495}{0.5\times 0.5\times 1.23\times 10^{2}}$$

Multiply 0.5 and 0.5 to get 0.25.

$$\frac{63.495}{0.25\times 1.23\times 10^{2}}$$

Multiply 0.25 and 1.23 to get 0.3075.

$$\frac{63.495}{0.3075\times 10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{63.495}{0.3075\times 100}$$

Multiply 0.3075 and 100 to get 30.75.

$$\frac{63.495}{30.75}$$

Expand \frac{63.495}{30.75} by multiplying both numerator and the denominator by 1000.

$$\frac{63495}{30750}$$

Reduce the fraction \frac{63495}{30750} to lowest terms by extracting and canceling out 15.

$$\frac{4233}{2050}$$

Factor

$$\frac{3 \cdot 17 \cdot 83}{2 \cdot 41 \cdot 5 ^ {2}} = 2\frac{133}{2050} = 2.064878048780488$$