Solve 2*0.122/63.5*9.65*10^4

$$2 \times \frac { 0.122 } { 63.5 } \times 9.65 \times 10 ^ { 4 }$$

Evaluate

$$\frac{47092}{127}\approx 370.803149606$$

Solution Steps

Expand \frac{0.122}{63.5} by multiplying both numerator and the denominator by 1000.

$$2\times \frac{122}{63500}\times 9.65\times 10^{4}$$

Reduce the fraction \frac{122}{63500} to lowest terms by extracting and canceling out 2.

$$2\times \frac{61}{31750}\times 9.65\times 10^{4}$$

Express 2\times \frac{61}{31750} as a single fraction.

$$\frac{2\times 61}{31750}\times 9.65\times 10^{4}$$

Multiply 2 and 61 to get 122.

$$\frac{122}{31750}\times 9.65\times 10^{4}$$

Reduce the fraction \frac{122}{31750} to lowest terms by extracting and canceling out 2.

$$\frac{61}{15875}\times 9.65\times 10^{4}$$

Convert decimal number 9.65 to fraction \frac{965}{100}. Reduce the fraction \frac{965}{100} to lowest terms by extracting and canceling out 5.

$$\frac{61}{15875}\times \frac{193}{20}\times 10^{4}$$

Multiply \frac{61}{15875} times \frac{193}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{61\times 193}{15875\times 20}\times 10^{4}$$

Do the multiplications in the fraction \frac{61\times 193}{15875\times 20}.

$$\frac{11773}{317500}\times 10^{4}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{11773}{317500}\times 10000$$

Express \frac{11773}{317500}\times 10000 as a single fraction.

$$\frac{11773\times 10000}{317500}$$

Multiply 11773 and 10000 to get 117730000.

$$\frac{117730000}{317500}$$

Reduce the fraction \frac{117730000}{317500} to lowest terms by extracting and canceling out 2500.

$$\frac{47092}{127}$$

Factor

$$\frac{61 \cdot 193 \cdot 2 ^ {2}}{127} = 370\frac{102}{127} = 370.8031496062992$$