Solve 1/6-1/9*5/8

$$\frac { 1 } { 6 } - \frac { 1 } { 9 } \times \frac { 5 } { 8 }$$

Evaluate

$$\frac{7}{72}\approx 0.097222222$$

Solution Steps

Multiply \frac{1}{9} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{6}-\frac{1\times 5}{9\times 8}$$

Do the multiplications in the fraction \frac{1\times 5}{9\times 8}.

$$\frac{1}{6}-\frac{5}{72}$$

Least common multiple of 6 and 72 is 72. Convert \frac{1}{6} and \frac{5}{72} to fractions with denominator 72.

$$\frac{12}{72}-\frac{5}{72}$$

Since \frac{12}{72} and \frac{5}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{72}$$

Subtract 5 from 12 to get 7.

$$\frac{7}{72}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 3 ^ {2}} = 0.09722222222222222$$