Solve 14.28/(118-112)*(114-112)=

$$\frac{ 14.28 }{ (118-112) } \times (114-112)=$$

Evaluate

$$4.76$$

Solution Steps

Subtract 112 from 118 to get 6.

$$\frac{14.28}{6}\left(114-112\right)$$

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

$$\frac{1428}{600}\left(114-112\right)$$

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

$$\frac{119}{50}\left(114-112\right)$$

Subtract 112 from 114 to get 2.

$$\frac{119}{50}\times 2$$

Express \frac{119}{50}\times 2 as a single fraction.

$$\frac{119\times 2}{50}$$

Multiply 119 and 2 to get 238.

$$\frac{238}{50}$$

Reduce the fraction \frac{238}{50} to lowest terms by extracting and canceling out 2.

$$\frac{119}{25}$$

Factor

$$\frac{7 \cdot 17}{5 ^ {2}} = 4\frac{19}{25} = 4.76$$