Solve 1/2-0.64951/13

$$\frac{ 1 }{ 2 } -0.6495 \frac{ 1 }{ 13 }$$

Evaluate

$$-\frac{5887}{26000}\approx -0.226423077$$

Solution Steps

Multiply 0.6495 and 13 to get 8.4435.

$$\frac{1}{2}-\frac{8.4435+1}{13}$$

Add 8.4435 and 1 to get 9.4435.

$$\frac{1}{2}-\frac{9.4435}{13}$$

Expand \frac{9.4435}{13} by multiplying both numerator and the denominator by 10000.

$$\frac{1}{2}-\frac{94435}{130000}$$

Reduce the fraction \frac{94435}{130000} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}-\frac{18887}{26000}$$

Least common multiple of 2 and 26000 is 26000. Convert \frac{1}{2} and \frac{18887}{26000} to fractions with denominator 26000.

$$\frac{13000}{26000}-\frac{18887}{26000}$$

Since \frac{13000}{26000} and \frac{18887}{26000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13000-18887}{26000}$$

Subtract 18887 from 13000 to get -5887.

$$-\frac{5887}{26000}$$

Factor

$$-\frac{5887}{26000} = -0.22642307692307692$$