Solve 103/4-81/2

$$10 \frac { 3 } { 4 } - 8 \frac { 1 } { 2 }$$

Evaluate

$$\frac{9}{4}=2.25$$

Solution Steps

Multiply 10 and 4 to get 40.

$$\frac{40+3}{4}-\frac{8\times 2+1}{2}$$

Add 40 and 3 to get 43.

$$\frac{43}{4}-\frac{8\times 2+1}{2}$$

Multiply 8 and 2 to get 16.

$$\frac{43}{4}-\frac{16+1}{2}$$

Add 16 and 1 to get 17.

$$\frac{43}{4}-\frac{17}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{43}{4} and \frac{17}{2} to fractions with denominator 4.

$$\frac{43}{4}-\frac{34}{4}$$

Since \frac{43}{4} and \frac{34}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{43-34}{4}$$

Subtract 34 from 43 to get 9.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$