Solve 23/4+25/4+51/8+9/4+2+6div6

$$\frac{ 23 }{ 4 } + \frac{ 25 }{ 4 } + \frac{ 51 }{ 8 } + \frac{ 9 }{ 4 } +2+6 \div 6$$

Evaluate

$$\frac{189}{8}=23.625$$

Solution Steps

Divide 6 by 6 to get 1.

$$\frac{23}{4}+\frac{25}{4}+\frac{51}{8}+\frac{9}{4}+2+1$$

Since \frac{23}{4} and \frac{25}{4} have the same denominator, add them by adding their numerators.

$$\frac{23+25}{4}+\frac{51}{8}+\frac{9}{4}+2+1$$

Add 23 and 25 to get 48.

$$\frac{48}{4}+\frac{51}{8}+\frac{9}{4}+2+1$$

Divide 48 by 4 to get 12.

$$12+\frac{51}{8}+\frac{9}{4}+2+1$$

Convert 12 to fraction \frac{96}{8}.

$$\frac{96}{8}+\frac{51}{8}+\frac{9}{4}+2+1$$

Since \frac{96}{8} and \frac{51}{8} have the same denominator, add them by adding their numerators.

$$\frac{96+51}{8}+\frac{9}{4}+2+1$$

Add 96 and 51 to get 147.

$$\frac{147}{8}+\frac{9}{4}+2+1$$

Least common multiple of 8 and 4 is 8. Convert \frac{147}{8} and \frac{9}{4} to fractions with denominator 8.

$$\frac{147}{8}+\frac{18}{8}+2+1$$

Since \frac{147}{8} and \frac{18}{8} have the same denominator, add them by adding their numerators.

$$\frac{147+18}{8}+2+1$$

Add 147 and 18 to get 165.

$$\frac{165}{8}+2+1$$

Convert 2 to fraction \frac{16}{8}.

$$\frac{165}{8}+\frac{16}{8}+1$$

Since \frac{165}{8} and \frac{16}{8} have the same denominator, add them by adding their numerators.

$$\frac{165+16}{8}+1$$

Add 165 and 16 to get 181.

$$\frac{181}{8}+1$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{181}{8}+\frac{8}{8}$$

Since \frac{181}{8} and \frac{8}{8} have the same denominator, add them by adding their numerators.

$$\frac{181+8}{8}$$

Add 181 and 8 to get 189.

$$\frac{189}{8}$$

Factor

$$\frac{3 ^ {3} \cdot 7}{2 ^ {3}} = 23\frac{5}{8} = 23.625$$