Solve 0.7*31.1(1-31.1/750)-20=

$$0.7 \times 31.1(1- \frac{ 31.1 }{ 750 } )-20=$$

Evaluate

$$\frac{650453}{750000}\approx 0.867270667$$

Solution Steps

Multiply 0.7 and 31.1 to get 21.77.

$$21.77\left(1-\frac{31.1}{750}\right)-20$$

Expand \frac{31.1}{750} by multiplying both numerator and the denominator by 10.

$$21.77\left(1-\frac{311}{7500}\right)-20$$

Convert 1 to fraction \frac{7500}{7500}.

$$21.77\left(\frac{7500}{7500}-\frac{311}{7500}\right)-20$$

Since \frac{7500}{7500} and \frac{311}{7500} have the same denominator, subtract them by subtracting their numerators.

$$21.77\times \frac{7500-311}{7500}-20$$

Subtract 311 from 7500 to get 7189.

$$21.77\times \frac{7189}{7500}-20$$

Convert decimal number 21.77 to fraction \frac{2177}{100}.

$$\frac{2177}{100}\times \frac{7189}{7500}-20$$

Multiply \frac{2177}{100} times \frac{7189}{7500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2177\times 7189}{100\times 7500}-20$$

Do the multiplications in the fraction \frac{2177\times 7189}{100\times 7500}.

$$\frac{15650453}{750000}-20$$

Convert 20 to fraction \frac{15000000}{750000}.

$$\frac{15650453}{750000}-\frac{15000000}{750000}$$

Since \frac{15650453}{750000} and \frac{15000000}{750000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15650453-15000000}{750000}$$

Subtract 15000000 from 15650453 to get 650453.

$$\frac{650453}{750000}$$

Factor

$$\frac{107 \cdot 6079}{3 \cdot 2 ^ {4} \cdot 5 ^ {6}} = 0.8672706666666666$$