Solve 71/6-5/18-1.5=

$$7 \frac { 1 } { 6 } - \frac { 5 } { 18 } - 1.5 =$$

Evaluate

$$\frac{97}{18}\approx 5.388888889$$

Solution Steps

Multiply 7 and 6 to get 42.

$$\frac{42+1}{6}-\frac{5}{18}-1.5$$

Add 42 and 1 to get 43.

$$\frac{43}{6}-\frac{5}{18}-1.5$$

Least common multiple of 6 and 18 is 18. Convert \frac{43}{6} and \frac{5}{18} to fractions with denominator 18.

$$\frac{129}{18}-\frac{5}{18}-1.5$$

Since \frac{129}{18} and \frac{5}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{129-5}{18}-1.5$$

Subtract 5 from 129 to get 124.

$$\frac{124}{18}-1.5$$

Reduce the fraction \frac{124}{18} to lowest terms by extracting and canceling out 2.

$$\frac{62}{9}-1.5$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{62}{9}-\frac{3}{2}$$

Least common multiple of 9 and 2 is 18. Convert \frac{62}{9} and \frac{3}{2} to fractions with denominator 18.

$$\frac{124}{18}-\frac{27}{18}$$

Since \frac{124}{18} and \frac{27}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{124-27}{18}$$

Subtract 27 from 124 to get 97.

$$\frac{97}{18}$$

Factor

$$\frac{97}{2 \cdot 3 ^ {2}} = 5\frac{7}{18} = 5.388888888888889$$