Solve 0.512+0.512-0.108/200-300*(260-200)

$$0.512 + \frac { 0.512 - 0.108 } { 200 - 300 } \times ( 260 - 200 )$$

Evaluate

$$0.2696$$

Solution Steps

Subtract 0.108 from 0.512 to get 0.404.

$$0.512+\frac{0.404}{200-300}\left(260-200\right)$$

Subtract 300 from 200 to get -100.

$$0.512+\frac{0.404}{-100}\left(260-200\right)$$

Expand \frac{0.404}{-100} by multiplying both numerator and the denominator by 1000.

$$0.512+\frac{404}{-100000}\left(260-200\right)$$

Reduce the fraction \frac{404}{-100000} to lowest terms by extracting and canceling out 4.

$$0.512-\frac{101}{25000}\left(260-200\right)$$

Subtract 200 from 260 to get 60.

$$0.512-\frac{101}{25000}\times 60$$

Express -\frac{101}{25000}\times 60 as a single fraction.

$$0.512+\frac{-101\times 60}{25000}$$

Multiply -101 and 60 to get -6060.

$$0.512+\frac{-6060}{25000}$$

Reduce the fraction \frac{-6060}{25000} to lowest terms by extracting and canceling out 20.

$$0.512-\frac{303}{1250}$$

Convert decimal number 0.512 to fraction \frac{512}{1000}. Reduce the fraction \frac{512}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{64}{125}-\frac{303}{1250}$$

Least common multiple of 125 and 1250 is 1250. Convert \frac{64}{125} and \frac{303}{1250} to fractions with denominator 1250.

$$\frac{640}{1250}-\frac{303}{1250}$$

Since \frac{640}{1250} and \frac{303}{1250} have the same denominator, subtract them by subtracting their numerators.

$$\frac{640-303}{1250}$$

Subtract 303 from 640 to get 337.

$$\frac{337}{1250}$$

Factor

$$\frac{337}{2 \cdot 5 ^ {4}} = 0.2696$$