Solve 14.28/(118-112)*(116-112)=

$$\frac{ 14.28 }{ (118-112) } \times (116-112)=$$

Evaluate

$$9.52$$

Solution Steps

Subtract 112 from 118 to get 6.

$$\frac{14.28}{6}\left(116-112\right)$$

Expand \frac{14.28}{6} by multiplying both numerator and the denominator by 100.

$$\frac{1428}{600}\left(116-112\right)$$

Reduce the fraction \frac{1428}{600} to lowest terms by extracting and canceling out 12.

$$\frac{119}{50}\left(116-112\right)$$

Subtract 112 from 116 to get 4.

$$\frac{119}{50}\times 4$$

Express \frac{119}{50}\times 4 as a single fraction.

$$\frac{119\times 4}{50}$$

Multiply 119 and 4 to get 476.

$$\frac{476}{50}$$

Reduce the fraction \frac{476}{50} to lowest terms by extracting and canceling out 2.

$$\frac{238}{25}$$

Factor

$$\frac{2 \cdot 7 \cdot 17}{5 ^ {2}} = 9\frac{13}{25} = 9.52$$