Solve 61/2-43/4

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

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Multiply 6 and 2 to get 12.

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

Add 12 and 1 to get 13.

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

Multiply 4 and 4 to get 16.

$$\frac{13}{2}-\frac{16+3}{4}$$

Add 16 and 3 to get 19.

$$\frac{13}{2}-\frac{19}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{13}{2} and \frac{19}{4} to fractions with denominator 4.

$$\frac{26}{4}-\frac{19}{4}$$

Since \frac{26}{4} and \frac{19}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-19}{4}$$

Subtract 19 from 26 to get 7.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$