Solve 14.28/(118-112)*(117-112)=

$$\frac{ 14.28 }{ (118-112) } \times (117-112)=$$

Evaluate

$$11.9$$

Solution Steps

Subtract 112 from 118 to get 6.

$$\frac{14.28}{6}\left(117-112\right)$$

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

$$\frac{1428}{600}\left(117-112\right)$$

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

$$\frac{119}{50}\left(117-112\right)$$

Subtract 112 from 117 to get 5.

$$\frac{119}{50}\times 5$$

Express \frac{119}{50}\times 5 as a single fraction.

$$\frac{119\times 5}{50}$$

Multiply 119 and 5 to get 595.

$$\frac{595}{50}$$

Reduce the fraction \frac{595}{50} to lowest terms by extracting and canceling out 5.

$$\frac{119}{10}$$

Factor

$$\frac{7 \cdot 17}{2 \cdot 5} = 11\frac{9}{10} = 11.9$$