Solve 911/15+93/5+48/15

$$9 \frac { 11 } { 15 } + 9 \frac { 3 } { 5 } + 4 \frac { 8 } { 15 }$$

Evaluate

$$\frac{358}{15}\approx 23.866666667$$

Solution Steps

Multiply 9 and 15 to get 135.

$$\frac{135+11}{15}+\frac{9\times 5+3}{5}+\frac{4\times 15+8}{15}$$

Add 135 and 11 to get 146.

$$\frac{146}{15}+\frac{9\times 5+3}{5}+\frac{4\times 15+8}{15}$$

Multiply 9 and 5 to get 45.

$$\frac{146}{15}+\frac{45+3}{5}+\frac{4\times 15+8}{15}$$

Add 45 and 3 to get 48.

$$\frac{146}{15}+\frac{48}{5}+\frac{4\times 15+8}{15}$$

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

$$\frac{146}{15}+\frac{144}{15}+\frac{4\times 15+8}{15}$$

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

$$\frac{146+144}{15}+\frac{4\times 15+8}{15}$$

Add 146 and 144 to get 290.

$$\frac{290}{15}+\frac{4\times 15+8}{15}$$

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

$$\frac{58}{3}+\frac{4\times 15+8}{15}$$

Multiply 4 and 15 to get 60.

$$\frac{58}{3}+\frac{60+8}{15}$$

Add 60 and 8 to get 68.

$$\frac{58}{3}+\frac{68}{15}$$

Least common multiple of 3 and 15 is 15. Convert \frac{58}{3} and \frac{68}{15} to fractions with denominator 15.

$$\frac{290}{15}+\frac{68}{15}$$

Since \frac{290}{15} and \frac{68}{15} have the same denominator, add them by adding their numerators.

$$\frac{290+68}{15}$$

Add 290 and 68 to get 358.

$$\frac{358}{15}$$

Factor

$$\frac{2 \cdot 179}{3 \cdot 5} = 23\frac{13}{15} = 23.866666666666667$$