Solve 029/19(422-2807:35)

$$02 \frac { 9 } { 19 } ( 422 - 2807 : 35 )$$

Evaluate

$$\frac{80323}{95}\approx 845.505263158$$

Solution Steps

Multiply 2 and 19 to get 38.

$$\frac{38+9}{19}\left(422-\frac{2807}{35}\right)$$

Add 38 and 9 to get 47.

$$\frac{47}{19}\left(422-\frac{2807}{35}\right)$$

Reduce the fraction \frac{2807}{35} to lowest terms by extracting and canceling out 7.

$$\frac{47}{19}\left(422-\frac{401}{5}\right)$$

Convert 422 to fraction \frac{2110}{5}.

$$\frac{47}{19}\left(\frac{2110}{5}-\frac{401}{5}\right)$$

Since \frac{2110}{5} and \frac{401}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{47}{19}\times \frac{2110-401}{5}$$

Subtract 401 from 2110 to get 1709.

$$\frac{47}{19}\times \frac{1709}{5}$$

Multiply \frac{47}{19} times \frac{1709}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{47\times 1709}{19\times 5}$$

Do the multiplications in the fraction \frac{47\times 1709}{19\times 5}.

$$\frac{80323}{95}$$

Factor

$$\frac{47 \cdot 1709}{5 \cdot 19} = 845\frac{48}{95} = 845.5052631578948$$