Solve 7/8+1/9-7/2

$$\frac{ 7 }{ 8 } + \frac{ 1 }{ 9 } - \frac{ 7 }{ 2 }$$

Evaluate

$$-\frac{181}{72}\approx -2.513888889$$

Solution Steps

Least common multiple of 8 and 9 is 72. Convert \frac{7}{8} and \frac{1}{9} to fractions with denominator 72.

$$\frac{63}{72}+\frac{8}{72}-\frac{7}{2}$$

Since \frac{63}{72} and \frac{8}{72} have the same denominator, add them by adding their numerators.

$$\frac{63+8}{72}-\frac{7}{2}$$

Add 63 and 8 to get 71.

$$\frac{71}{72}-\frac{7}{2}$$

Least common multiple of 72 and 2 is 72. Convert \frac{71}{72} and \frac{7}{2} to fractions with denominator 72.

$$\frac{71}{72}-\frac{252}{72}$$

Since \frac{71}{72} and \frac{252}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{71-252}{72}$$

Subtract 252 from 71 to get -181.

$$-\frac{181}{72}$$

Factor

$$-\frac{181}{72} = -2\frac{37}{72} = -2.513888888888889$$