Solve 2/7-7.6

$$\frac { 2 } { 7 } - 7.6$$

Evaluate

$$-\frac{256}{35}\approx -7.314285714$$

Solution Steps

Convert decimal number 7.6 to fraction \frac{76}{10}. Reduce the fraction \frac{76}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{7}-\frac{38}{5}$$

Least common multiple of 7 and 5 is 35. Convert \frac{2}{7} and \frac{38}{5} to fractions with denominator 35.

$$\frac{10}{35}-\frac{266}{35}$$

Since \frac{10}{35} and \frac{266}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-266}{35}$$

Subtract 266 from 10 to get -256.

$$-\frac{256}{35}$$

Factor

$$-\frac{256}{35} = -7\frac{11}{35} = -7.314285714285714$$