Solve 67/9-13/8

$$6 \frac{ 7 }{ 9 } -1 \frac{ 3 }{ 8 }$$

Evaluate

$$\frac{389}{72}\approx 5.402777778$$

Solution Steps

Multiply 6 and 9 to get 54.

$$\frac{54+7}{9}-\frac{1\times 8+3}{8}$$

Add 54 and 7 to get 61.

$$\frac{61}{9}-\frac{1\times 8+3}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{61}{9}-\frac{8+3}{8}$$

Add 8 and 3 to get 11.

$$\frac{61}{9}-\frac{11}{8}$$

Least common multiple of 9 and 8 is 72. Convert \frac{61}{9} and \frac{11}{8} to fractions with denominator 72.

$$\frac{488}{72}-\frac{99}{72}$$

Since \frac{488}{72} and \frac{99}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{488-99}{72}$$

Subtract 99 from 488 to get 389.

$$\frac{389}{72}$$

Factor

$$\frac{389}{2 ^ {3} \cdot 3 ^ {2}} = 5\frac{29}{72} = 5.402777777777778$$