Solve 17/8+24/5+34/9

$$1 \frac { 7 } { 8 } + 2 \frac { 4 } { 5 } + 3 \frac { 4 } { 9 }$$

Evaluate

$$\frac{2923}{360}\approx 8.119444444$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+7}{8}+\frac{2\times 5+4}{5}+\frac{3\times 9+4}{9}$$

Add 8 and 7 to get 15.

$$\frac{15}{8}+\frac{2\times 5+4}{5}+\frac{3\times 9+4}{9}$$

Multiply 2 and 5 to get 10.

$$\frac{15}{8}+\frac{10+4}{5}+\frac{3\times 9+4}{9}$$

Add 10 and 4 to get 14.

$$\frac{15}{8}+\frac{14}{5}+\frac{3\times 9+4}{9}$$

Least common multiple of 8 and 5 is 40. Convert \frac{15}{8} and \frac{14}{5} to fractions with denominator 40.

$$\frac{75}{40}+\frac{112}{40}+\frac{3\times 9+4}{9}$$

Since \frac{75}{40} and \frac{112}{40} have the same denominator, add them by adding their numerators.

$$\frac{75+112}{40}+\frac{3\times 9+4}{9}$$

Add 75 and 112 to get 187.

$$\frac{187}{40}+\frac{3\times 9+4}{9}$$

Multiply 3 and 9 to get 27.

$$\frac{187}{40}+\frac{27+4}{9}$$

Add 27 and 4 to get 31.

$$\frac{187}{40}+\frac{31}{9}$$

Least common multiple of 40 and 9 is 360. Convert \frac{187}{40} and \frac{31}{9} to fractions with denominator 360.

$$\frac{1683}{360}+\frac{1240}{360}$$

Since \frac{1683}{360} and \frac{1240}{360} have the same denominator, add them by adding their numerators.

$$\frac{1683+1240}{360}$$

Add 1683 and 1240 to get 2923.

$$\frac{2923}{360}$$

Factor

$$\frac{37 \cdot 79}{2 ^ {3} \cdot 3 ^ {2} \cdot 5} = 8\frac{43}{360} = 8.119444444444444$$