Solve 6.5-25/13

$$6.5- \frac{ 25 }{ 13 }$$

Evaluate

$$\frac{119}{26}\approx 4.576923077$$

Solution Steps

Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$\frac{13}{2}-\frac{25}{13}$$

Least common multiple of 2 and 13 is 26. Convert \frac{13}{2} and \frac{25}{13} to fractions with denominator 26.

$$\frac{169}{26}-\frac{50}{26}$$

Since \frac{169}{26} and \frac{50}{26} have the same denominator, subtract them by subtracting their numerators.

$$\frac{169-50}{26}$$

Subtract 50 from 169 to get 119.

$$\frac{119}{26}$$

Factor

$$\frac{7 \cdot 17}{2 \cdot 13} = 4\frac{15}{26} = 4.576923076923077$$