Solve {l}{102/3}{-45/8}

$$\left. \begin{array} { l } { 10 \frac { 2 } { 3 } } \\ { - 4 \frac { 5 } { 8 } } \end{array} \right.$$

Evaluate

$$\frac{145}{24}\approx 6.041666667$$

Solution Steps

Multiply 10 and 3 to get 30.

$$\frac{30+2}{3}-\frac{4\times 8+5}{8}$$

Add 30 and 2 to get 32.

$$\frac{32}{3}-\frac{4\times 8+5}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{32}{3}-\frac{32+5}{8}$$

Add 32 and 5 to get 37.

$$\frac{32}{3}-\frac{37}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{32}{3} and \frac{37}{8} to fractions with denominator 24.

$$\frac{256}{24}-\frac{111}{24}$$

Since \frac{256}{24} and \frac{111}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{256-111}{24}$$

Subtract 111 from 256 to get 145.

$$\frac{145}{24}$$

Factor

$$\frac{5 \cdot 29}{2 ^ {3} \cdot 3} = 6\frac{1}{24} = 6.041666666666667$$