Solve 7div8+2div9-104div12

$$7 \div 8+2 \div 9-104 \div 12$$

Evaluate

$$-\frac{545}{72}\approx -7.569444444$$

Solution Steps

Least common multiple of 8 and 9 is 72. Convert \frac{7}{8} and \frac{2}{9} to fractions with denominator 72.

$$\frac{63}{72}+\frac{16}{72}-\frac{104}{12}$$

Since \frac{63}{72} and \frac{16}{72} have the same denominator, add them by adding their numerators.

$$\frac{63+16}{72}-\frac{104}{12}$$

Add 63 and 16 to get 79.

$$\frac{79}{72}-\frac{104}{12}$$

Reduce the fraction \frac{104}{12} to lowest terms by extracting and canceling out 4.

$$\frac{79}{72}-\frac{26}{3}$$

Least common multiple of 72 and 3 is 72. Convert \frac{79}{72} and \frac{26}{3} to fractions with denominator 72.

$$\frac{79}{72}-\frac{624}{72}$$

Since \frac{79}{72} and \frac{624}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{79-624}{72}$$

Subtract 624 from 79 to get -545.

$$-\frac{545}{72}$$

Factor

$$-\frac{545}{72} = -7\frac{41}{72} = -7.569444444444445$$