Solve 92/3-71/2+28/15

$$9 \frac { 2 } { 3 } - 7 \frac { 1 } { 2 } + 2 \frac { 8 } { 15 }$$

Evaluate

$$\frac{47}{10}=4.7$$

Solution Steps

Multiply 9 and 3 to get 27.

$$\frac{27+2}{3}-\frac{7\times 2+1}{2}+\frac{2\times 15+8}{15}$$

Add 27 and 2 to get 29.

$$\frac{29}{3}-\frac{7\times 2+1}{2}+\frac{2\times 15+8}{15}$$

Multiply 7 and 2 to get 14.

$$\frac{29}{3}-\frac{14+1}{2}+\frac{2\times 15+8}{15}$$

Add 14 and 1 to get 15.

$$\frac{29}{3}-\frac{15}{2}+\frac{2\times 15+8}{15}$$

Least common multiple of 3 and 2 is 6. Convert \frac{29}{3} and \frac{15}{2} to fractions with denominator 6.

$$\frac{58}{6}-\frac{45}{6}+\frac{2\times 15+8}{15}$$

Since \frac{58}{6} and \frac{45}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{58-45}{6}+\frac{2\times 15+8}{15}$$

Subtract 45 from 58 to get 13.

$$\frac{13}{6}+\frac{2\times 15+8}{15}$$

Multiply 2 and 15 to get 30.

$$\frac{13}{6}+\frac{30+8}{15}$$

Add 30 and 8 to get 38.

$$\frac{13}{6}+\frac{38}{15}$$

Least common multiple of 6 and 15 is 30. Convert \frac{13}{6} and \frac{38}{15} to fractions with denominator 30.

$$\frac{65}{30}+\frac{76}{30}$$

Since \frac{65}{30} and \frac{76}{30} have the same denominator, add them by adding their numerators.

$$\frac{65+76}{30}$$

Add 65 and 76 to get 141.

$$\frac{141}{30}$$

Reduce the fraction \frac{141}{30} to lowest terms by extracting and canceling out 3.

$$\frac{47}{10}$$

Factor

$$\frac{47}{2 \cdot 5} = 4\frac{7}{10} = 4.7$$