Solve 11*((115-100)*(115-144)/(121-100)*(121-144))=

$$11 \times ( \frac{ (115-100) \times (115-144) }{ (121-100) \times (121-144) } )=$$

Evaluate

$$\frac{1595}{161}\approx 9.906832298$$

Solution Steps

Subtract 100 from 115 to get 15.

$$11\times \frac{15\left(115-144\right)}{\left(121-100\right)\left(121-144\right)}$$

Subtract 144 from 115 to get -29.

$$11\times \frac{15\left(-29\right)}{\left(121-100\right)\left(121-144\right)}$$

Multiply 15 and -29 to get -435.

$$11\times \frac{-435}{\left(121-100\right)\left(121-144\right)}$$

Subtract 100 from 121 to get 21.

$$11\times \frac{-435}{21\left(121-144\right)}$$

Subtract 144 from 121 to get -23.

$$11\times \frac{-435}{21\left(-23\right)}$$

Multiply 21 and -23 to get -483.

$$11\times \frac{-435}{-483}$$

Reduce the fraction \frac{-435}{-483} to lowest terms by extracting and canceling out -3.

$$11\times \frac{145}{161}$$

Express 11\times \frac{145}{161} as a single fraction.

$$\frac{11\times 145}{161}$$

Multiply 11 and 145 to get 1595.

$$\frac{1595}{161}$$

Factor

$$\frac{5 \cdot 11 \cdot 29}{7 \cdot 23} = 9\frac{146}{161} = 9.906832298136646$$