Solve 0.331-0.302/4327-3953*(4250-3953)+0.302

$$\frac{ 0.331-0.302 }{ 4327-3953 } \times (4250-3953)+0.302$$

Evaluate

$$\frac{11051}{34000}\approx 0.325029412$$

Solution Steps

Subtract 0.302 from 0.331 to get 0.029.

$$\frac{0.029}{4327-3953}\left(4250-3953\right)+0.302$$

Subtract 3953 from 4327 to get 374.

$$\frac{0.029}{374}\left(4250-3953\right)+0.302$$

Expand \frac{0.029}{374} by multiplying both numerator and the denominator by 1000.

$$\frac{29}{374000}\left(4250-3953\right)+0.302$$

Subtract 3953 from 4250 to get 297.

$$\frac{29}{374000}\times 297+0.302$$

Express \frac{29}{374000}\times 297 as a single fraction.

$$\frac{29\times 297}{374000}+0.302$$

Multiply 29 and 297 to get 8613.

$$\frac{8613}{374000}+0.302$$

Reduce the fraction \frac{8613}{374000} to lowest terms by extracting and canceling out 11.

$$\frac{783}{34000}+0.302$$

Convert decimal number 0.302 to fraction \frac{302}{1000}. Reduce the fraction \frac{302}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{783}{34000}+\frac{151}{500}$$

Least common multiple of 34000 and 500 is 34000. Convert \frac{783}{34000} and \frac{151}{500} to fractions with denominator 34000.

$$\frac{783}{34000}+\frac{10268}{34000}$$

Since \frac{783}{34000} and \frac{10268}{34000} have the same denominator, add them by adding their numerators.

$$\frac{783+10268}{34000}$$

Add 783 and 10268 to get 11051.

$$\frac{11051}{34000}$$

Factor

$$\frac{43 \cdot 257}{17 \cdot 2 ^ {4} \cdot 5 ^ {3}} = 0.3250294117647059$$