Solve 5.678*3.2-1.286+0.377/1.4

$$5.678 \cdot 3.2- \frac{ 1.286+0.377 }{ 1.4 }$$

Evaluate

$$\frac{594361}{35000}\approx 16.981742857$$

Solution Steps

Multiply 5.678 and 3.2 to get 18.1696.

$$18.1696-\frac{1.286+0.377}{1.4}$$

Add 1.286 and 0.377 to get 1.663.

$$18.1696-\frac{1.663}{1.4}$$

Expand \frac{1.663}{1.4} by multiplying both numerator and the denominator by 1000.

$$18.1696-\frac{1663}{1400}$$

Convert decimal number 18.1696 to fraction \frac{181696}{10000}. Reduce the fraction \frac{181696}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{11356}{625}-\frac{1663}{1400}$$

Least common multiple of 625 and 1400 is 35000. Convert \frac{11356}{625} and \frac{1663}{1400} to fractions with denominator 35000.

$$\frac{635936}{35000}-\frac{41575}{35000}$$

Since \frac{635936}{35000} and \frac{41575}{35000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{635936-41575}{35000}$$

Subtract 41575 from 635936 to get 594361.

$$\frac{594361}{35000}$$

Factor

$$\frac{149 \cdot 3989}{7 \cdot 2 ^ {3} \cdot 5 ^ {4}} = 16\frac{34361}{35000} = 16.98174285714286$$