Solve {l}{871/2}{-101/4}

$$\left. \begin{array} { l } { 87 \frac { 1 } { 2 } } \\ { - 10 \frac { 1 } { 4 } } \end{array} \right.$$

Evaluate

$$\frac{309}{4}=77.25$$

Solution Steps

Multiply 87 and 2 to get 174.

$$\frac{174+1}{2}-\frac{10\times 4+1}{4}$$

Add 174 and 1 to get 175.

$$\frac{175}{2}-\frac{10\times 4+1}{4}$$

Multiply 10 and 4 to get 40.

$$\frac{175}{2}-\frac{40+1}{4}$$

Add 40 and 1 to get 41.

$$\frac{175}{2}-\frac{41}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{175}{2} and \frac{41}{4} to fractions with denominator 4.

$$\frac{350}{4}-\frac{41}{4}$$

Since \frac{350}{4} and \frac{41}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{350-41}{4}$$

Subtract 41 from 350 to get 309.

$$\frac{309}{4}$$

Factor

$$\frac{3 \cdot 103}{2 ^ {2}} = 77\frac{1}{4} = 77.25$$