Solve 911/15+93/5+11/158/15

$$9 \frac { 11 } { 15 } + 9 \frac { 3 } { 5 } + \frac { 11 } { 15 } \frac { 8 } { 15 }$$

Evaluate

$$\frac{4438}{225}\approx 19.724444444$$

Solution Steps

Multiply 9 and 15 to get 135.

$$\frac{135+11}{15}+\frac{9\times 5+3}{5}+\frac{11}{15}\times \frac{8}{15}$$

Add 135 and 11 to get 146.

$$\frac{146}{15}+\frac{9\times 5+3}{5}+\frac{11}{15}\times \frac{8}{15}$$

Multiply 9 and 5 to get 45.

$$\frac{146}{15}+\frac{45+3}{5}+\frac{11}{15}\times \frac{8}{15}$$

Add 45 and 3 to get 48.

$$\frac{146}{15}+\frac{48}{5}+\frac{11}{15}\times \frac{8}{15}$$

Least common multiple of 15 and 5 is 15. Convert \frac{146}{15} and \frac{48}{5} to fractions with denominator 15.

$$\frac{146}{15}+\frac{144}{15}+\frac{11}{15}\times \frac{8}{15}$$

Since \frac{146}{15} and \frac{144}{15} have the same denominator, add them by adding their numerators.

$$\frac{146+144}{15}+\frac{11}{15}\times \frac{8}{15}$$

Add 146 and 144 to get 290.

$$\frac{290}{15}+\frac{11}{15}\times \frac{8}{15}$$

Reduce the fraction \frac{290}{15} to lowest terms by extracting and canceling out 5.

$$\frac{58}{3}+\frac{11}{15}\times \frac{8}{15}$$

Multiply \frac{11}{15} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{58}{3}+\frac{11\times 8}{15\times 15}$$

Do the multiplications in the fraction \frac{11\times 8}{15\times 15}.

$$\frac{58}{3}+\frac{88}{225}$$

Least common multiple of 3 and 225 is 225. Convert \frac{58}{3} and \frac{88}{225} to fractions with denominator 225.

$$\frac{4350}{225}+\frac{88}{225}$$

Since \frac{4350}{225} and \frac{88}{225} have the same denominator, add them by adding their numerators.

$$\frac{4350+88}{225}$$

Add 4350 and 88 to get 4438.

$$\frac{4438}{225}$$

Factor

$$\frac{2 \cdot 7 \cdot 317}{3 ^ {2} \cdot 5 ^ {2}} = 19\frac{163}{225} = 19.724444444444444$$