Solve 3.968-1/3.968*10^5

$$\frac{ 3.968-1 }{ 3.968 } \times { 10 }^{ 5 }$$

Evaluate

$$\frac{2318750}{31}\approx 74798.387096774$$

Solution Steps

Subtract 1 from 3.968 to get 2.968.

$$\frac{2.968}{3.968}\times 10^{5}$$

Expand \frac{2.968}{3.968} by multiplying both numerator and the denominator by 1000.

$$\frac{2968}{3968}\times 10^{5}$$

Reduce the fraction \frac{2968}{3968} to lowest terms by extracting and canceling out 8.

$$\frac{371}{496}\times 10^{5}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{371}{496}\times 100000$$

Express \frac{371}{496}\times 100000 as a single fraction.

$$\frac{371\times 100000}{496}$$

Multiply 371 and 100000 to get 37100000.

$$\frac{37100000}{496}$$

Reduce the fraction \frac{37100000}{496} to lowest terms by extracting and canceling out 16.

$$\frac{2318750}{31}$$

Factor

$$\frac{2 \cdot 7 \cdot 53 \cdot 5 ^ {5}}{31} = 74798\frac{12}{31} = 74798.3870967742$$