Solve 701/2-661/4

$$70 \frac{ 1 }{ 2 } -66 \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{17}{4}=4.25$$

Solution Steps

Multiply 70 and 2 to get 140.

$$\frac{140+1}{2}-\frac{66\times 4+1}{4}$$

Add 140 and 1 to get 141.

$$\frac{141}{2}-\frac{66\times 4+1}{4}$$

Multiply 66 and 4 to get 264.

$$\frac{141}{2}-\frac{264+1}{4}$$

Add 264 and 1 to get 265.

$$\frac{141}{2}-\frac{265}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{141}{2} and \frac{265}{4} to fractions with denominator 4.

$$\frac{282}{4}-\frac{265}{4}$$

Since \frac{282}{4} and \frac{265}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{282-265}{4}$$

Subtract 265 from 282 to get 17.

$$\frac{17}{4}$$

Factor

$$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$$