Solve 0.94-(5/14*0.871*2)

$$0.94 - ( \frac { 5 } { 14 } \times 0.871 \times 2 )$$

Evaluate

$$\frac{89}{280}\approx 0.317857143$$

Solution Steps

Convert decimal number 0.871 to fraction \frac{871}{1000}.

$$0.94-\frac{5}{14}\times \frac{871}{1000}\times 2$$

Multiply \frac{5}{14} times \frac{871}{1000} by multiplying numerator times numerator and denominator times denominator.

$$0.94-\frac{5\times 871}{14\times 1000}\times 2$$

Do the multiplications in the fraction \frac{5\times 871}{14\times 1000}.

$$0.94-\frac{4355}{14000}\times 2$$

Reduce the fraction \frac{4355}{14000} to lowest terms by extracting and canceling out 5.

$$0.94-\frac{871}{2800}\times 2$$

Express \frac{871}{2800}\times 2 as a single fraction.

$$0.94-\frac{871\times 2}{2800}$$

Multiply 871 and 2 to get 1742.

$$0.94-\frac{1742}{2800}$$

Reduce the fraction \frac{1742}{2800} to lowest terms by extracting and canceling out 2.

$$0.94-\frac{871}{1400}$$

Convert decimal number 0.94 to fraction \frac{94}{100}. Reduce the fraction \frac{94}{100} to lowest terms by extracting and canceling out 2.

$$\frac{47}{50}-\frac{871}{1400}$$

Least common multiple of 50 and 1400 is 1400. Convert \frac{47}{50} and \frac{871}{1400} to fractions with denominator 1400.

$$\frac{1316}{1400}-\frac{871}{1400}$$

Since \frac{1316}{1400} and \frac{871}{1400} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1316-871}{1400}$$

Subtract 871 from 1316 to get 445.

$$\frac{445}{1400}$$

Reduce the fraction \frac{445}{1400} to lowest terms by extracting and canceling out 5.

$$\frac{89}{280}$$

Factor

$$\frac{89}{5 \cdot 7 \cdot 2 ^ {3}} = 0.31785714285714284$$