Solve 1-0.171(1-3/3+1.2)=

$$1-0.171(1- \frac{ 3 }{ 3+1.2 } )=$$

Evaluate

$$\frac{3329}{3500}\approx 0.951142857$$

Solution Steps

Add 3 and 1.2 to get 4.2.

$$1-0.171\left(1-\frac{3}{4.2}\right)$$

Expand \frac{3}{4.2} by multiplying both numerator and the denominator by 10.

$$1-0.171\left(1-\frac{30}{42}\right)$$

Reduce the fraction \frac{30}{42} to lowest terms by extracting and canceling out 6.

$$1-0.171\left(1-\frac{5}{7}\right)$$

Convert 1 to fraction \frac{7}{7}.

$$1-0.171\left(\frac{7}{7}-\frac{5}{7}\right)$$

Since \frac{7}{7} and \frac{5}{7} have the same denominator, subtract them by subtracting their numerators.

$$1-0.171\times \frac{7-5}{7}$$

Subtract 5 from 7 to get 2.

$$1-0.171\times \frac{2}{7}$$

Convert decimal number 0.171 to fraction \frac{171}{1000}.

$$1-\frac{171}{1000}\times \frac{2}{7}$$

Multiply \frac{171}{1000} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{171\times 2}{1000\times 7}$$

Do the multiplications in the fraction \frac{171\times 2}{1000\times 7}.

$$1-\frac{342}{7000}$$

Reduce the fraction \frac{342}{7000} to lowest terms by extracting and canceling out 2.

$$1-\frac{171}{3500}$$

Convert 1 to fraction \frac{3500}{3500}.

$$\frac{3500}{3500}-\frac{171}{3500}$$

Since \frac{3500}{3500} and \frac{171}{3500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3500-171}{3500}$$

Subtract 171 from 3500 to get 3329.

$$\frac{3329}{3500}$$

Factor

$$\frac{3329}{7 \cdot 2 ^ {2} \cdot 5 ^ {3}} = 0.9511428571428572$$