Solve 10*((115-121)*(115-144)/(100-121)*(100-144))

$$10 \times ( \frac{ (115-121) \times (115-144) }{ (100-121) \times (100-144) } )$$

Evaluate

$$\frac{145}{77}\approx 1.883116883$$

Solution Steps

Subtract 121 from 115 to get -6.

$$10\times \frac{-6\left(115-144\right)}{\left(100-121\right)\left(100-144\right)}$$

Subtract 144 from 115 to get -29.

$$10\times \frac{-6\left(-29\right)}{\left(100-121\right)\left(100-144\right)}$$

Multiply -6 and -29 to get 174.

$$10\times \frac{174}{\left(100-121\right)\left(100-144\right)}$$

Subtract 121 from 100 to get -21.

$$10\times \frac{174}{-21\left(100-144\right)}$$

Subtract 144 from 100 to get -44.

$$10\times \frac{174}{-21\left(-44\right)}$$

Multiply -21 and -44 to get 924.

$$10\times \frac{174}{924}$$

Reduce the fraction \frac{174}{924} to lowest terms by extracting and canceling out 6.

$$10\times \frac{29}{154}$$

Express 10\times \frac{29}{154} as a single fraction.

$$\frac{10\times 29}{154}$$

Multiply 10 and 29 to get 290.

$$\frac{290}{154}$$

Reduce the fraction \frac{290}{154} to lowest terms by extracting and canceling out 2.

$$\frac{145}{77}$$

Factor

$$\frac{5 \cdot 29}{7 \cdot 11} = 1\frac{68}{77} = 1.8831168831168832$$