Solve 5/8-9/14*7/7

$$\frac { 5 } { 8 } - \frac { 9 } { 14 } \times \frac { 7 } { 7 }$$

Evaluate

$$-\frac{1}{56}\approx -0.017857143$$

Solution Steps

Divide 7 by 7 to get 1.

$$\frac{5}{8}-\frac{9}{14}\times 1$$

Multiply \frac{9}{14} and 1 to get \frac{9}{14}.

$$\frac{5}{8}-\frac{9}{14}$$

Least common multiple of 8 and 14 is 56. Convert \frac{5}{8} and \frac{9}{14} to fractions with denominator 56.

$$\frac{35}{56}-\frac{36}{56}$$

Since \frac{35}{56} and \frac{36}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-36}{56}$$

Subtract 36 from 35 to get -1.

$$-\frac{1}{56}$$

Factor

$$-\frac{1}{56} = -0.017857142857142856$$