Solve 69/3+7/4+9/8+6/4+9

$$6 \frac { 9 } { 3 } + \frac { 7 } { 4 } + \frac { 9 } { 8 } + \frac { 6 } { 4 } + 9$$

Evaluate

$$\frac{179}{8}=22.375$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{18+9}{3}+\frac{7}{4}+\frac{9}{8}+\frac{6}{4}+9$$

Add 18 and 9 to get 27.

$$\frac{27}{3}+\frac{7}{4}+\frac{9}{8}+\frac{6}{4}+9$$

Divide 27 by 3 to get 9.

$$9+\frac{7}{4}+\frac{9}{8}+\frac{6}{4}+9$$

Convert 9 to fraction \frac{36}{4}.

$$\frac{36}{4}+\frac{7}{4}+\frac{9}{8}+\frac{6}{4}+9$$

Since \frac{36}{4} and \frac{7}{4} have the same denominator, add them by adding their numerators.

$$\frac{36+7}{4}+\frac{9}{8}+\frac{6}{4}+9$$

Add 36 and 7 to get 43.

$$\frac{43}{4}+\frac{9}{8}+\frac{6}{4}+9$$

Least common multiple of 4 and 8 is 8. Convert \frac{43}{4} and \frac{9}{8} to fractions with denominator 8.

$$\frac{86}{8}+\frac{9}{8}+\frac{6}{4}+9$$

Since \frac{86}{8} and \frac{9}{8} have the same denominator, add them by adding their numerators.

$$\frac{86+9}{8}+\frac{6}{4}+9$$

Add 86 and 9 to get 95.

$$\frac{95}{8}+\frac{6}{4}+9$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{95}{8}+\frac{3}{2}+9$$

Least common multiple of 8 and 2 is 8. Convert \frac{95}{8} and \frac{3}{2} to fractions with denominator 8.

$$\frac{95}{8}+\frac{12}{8}+9$$

Since \frac{95}{8} and \frac{12}{8} have the same denominator, add them by adding their numerators.

$$\frac{95+12}{8}+9$$

Add 95 and 12 to get 107.

$$\frac{107}{8}+9$$

Convert 9 to fraction \frac{72}{8}.

$$\frac{107}{8}+\frac{72}{8}$$

Since \frac{107}{8} and \frac{72}{8} have the same denominator, add them by adding their numerators.

$$\frac{107+72}{8}$$

Add 107 and 72 to get 179.

$$\frac{179}{8}$$

Factor

$$\frac{179}{2 ^ {3}} = 22\frac{3}{8} = 22.375$$