Solve (45/11+82/11)

$$( 4 \frac { 5 } { 11 } + 8 \frac { 2 } { 11 } )$$

Evaluate

$$\frac{139}{11}\approx 12.636363636$$

Solution Steps

Multiply 4 and 11 to get 44.

$$\frac{44+5}{11}+\frac{8\times 11+2}{11}$$

Add 44 and 5 to get 49.

$$\frac{49}{11}+\frac{8\times 11+2}{11}$$

Multiply 8 and 11 to get 88.

$$\frac{49}{11}+\frac{88+2}{11}$$

Add 88 and 2 to get 90.

$$\frac{49}{11}+\frac{90}{11}$$

Since \frac{49}{11} and \frac{90}{11} have the same denominator, add them by adding their numerators.

$$\frac{49+90}{11}$$

Add 49 and 90 to get 139.

$$\frac{139}{11}$$

Factor

$$\frac{139}{11} = 12\frac{7}{11} = 12.636363636363637$$