Solve {r}{183/8}{-quad117/64}

$$\left. \begin{array} { r } { 18 \frac { 3 } { 8 } } \\ { - \quad 11 \frac { 7 } { 64 } } \end{array} \right.$$

Evaluate

$$\frac{465}{64}=7.265625$$

Solution Steps

Multiply 18 and 8 to get 144.

$$\frac{144+3}{8}-\frac{11\times 64+7}{64}$$

Add 144 and 3 to get 147.

$$\frac{147}{8}-\frac{11\times 64+7}{64}$$

Multiply 11 and 64 to get 704.

$$\frac{147}{8}-\frac{704+7}{64}$$

Add 704 and 7 to get 711.

$$\frac{147}{8}-\frac{711}{64}$$

Least common multiple of 8 and 64 is 64. Convert \frac{147}{8} and \frac{711}{64} to fractions with denominator 64.

$$\frac{1176}{64}-\frac{711}{64}$$

Since \frac{1176}{64} and \frac{711}{64} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1176-711}{64}$$

Subtract 711 from 1176 to get 465.

$$\frac{465}{64}$$

Factor

$$\frac{3 \cdot 5 \cdot 31}{2 ^ {6}} = 7\frac{17}{64} = 7.265625$$