Solve (765+155/13.6)*345=

$$(765+ \frac{ 155 }{ 13.6 } ) \times 345=$$

Evaluate

$$\frac{18214275}{68}\approx 267856.985294118$$

Solution Steps

Expand \frac{155}{13.6} by multiplying both numerator and the denominator by 10.

$$\left(765+\frac{1550}{136}\right)\times 345$$

Reduce the fraction \frac{1550}{136} to lowest terms by extracting and canceling out 2.

$$\left(765+\frac{775}{68}\right)\times 345$$

Convert 765 to fraction \frac{52020}{68}.

$$\left(\frac{52020}{68}+\frac{775}{68}\right)\times 345$$

Since \frac{52020}{68} and \frac{775}{68} have the same denominator, add them by adding their numerators.

$$\frac{52020+775}{68}\times 345$$

Add 52020 and 775 to get 52795.

$$\frac{52795}{68}\times 345$$

Express \frac{52795}{68}\times 345 as a single fraction.

$$\frac{52795\times 345}{68}$$

Multiply 52795 and 345 to get 18214275.

$$\frac{18214275}{68}$$

Factor

$$\frac{3 \cdot 23 \cdot 10559 \cdot 5 ^ {2}}{17 \cdot 2 ^ {2}} = 267856\frac{67}{68} = 267856.98529411765$$