Solve 61/2-53/4

$$6 \frac { 1 } { 2 } - 5 \frac { 3 } { 4 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Multiply 6 and 2 to get 12.

$$\frac{12+1}{2}-\frac{5\times 4+3}{4}$$

Add 12 and 1 to get 13.

$$\frac{13}{2}-\frac{5\times 4+3}{4}$$

Multiply 5 and 4 to get 20.

$$\frac{13}{2}-\frac{20+3}{4}$$

Add 20 and 3 to get 23.

$$\frac{13}{2}-\frac{23}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{13}{2} and \frac{23}{4} to fractions with denominator 4.

$$\frac{26}{4}-\frac{23}{4}$$

Since \frac{26}{4} and \frac{23}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-23}{4}$$

Subtract 23 from 26 to get 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$