Solve 241/2-16:8+31/2:2=

$$24 \frac { 1 } { 2 } - 16 : 8 + 3 \frac { 1 } { 2 } : 2 =$$

Evaluate

$$\frac{97}{4}=24.25$$

Solution Steps

Multiply 24 and 2 to get 48.

$$\frac{48+1}{2}-\frac{16}{8}+\frac{\frac{3\times 2+1}{2}}{2}$$

Add 48 and 1 to get 49.

$$\frac{49}{2}-\frac{16}{8}+\frac{\frac{3\times 2+1}{2}}{2}$$

Divide 16 by 8 to get 2.

$$\frac{49}{2}-2+\frac{\frac{3\times 2+1}{2}}{2}$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{49}{2}-\frac{4}{2}+\frac{\frac{3\times 2+1}{2}}{2}$$

Since \frac{49}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-4}{2}+\frac{\frac{3\times 2+1}{2}}{2}$$

Subtract 4 from 49 to get 45.

$$\frac{45}{2}+\frac{\frac{3\times 2+1}{2}}{2}$$

Express \frac{\frac{3\times 2+1}{2}}{2} as a single fraction.

$$\frac{45}{2}+\frac{3\times 2+1}{2\times 2}$$

Multiply 3 and 2 to get 6.

$$\frac{45}{2}+\frac{6+1}{2\times 2}$$

Add 6 and 1 to get 7.

$$\frac{45}{2}+\frac{7}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{45}{2}+\frac{7}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{45}{2} and \frac{7}{4} to fractions with denominator 4.

$$\frac{90}{4}+\frac{7}{4}$$

Since \frac{90}{4} and \frac{7}{4} have the same denominator, add them by adding their numerators.

$$\frac{90+7}{4}$$

Add 90 and 7 to get 97.

$$\frac{97}{4}$$

Factor

$$\frac{97}{2 ^ {2}} = 24\frac{1}{4} = 24.25$$