Solve (745+65/13.6)*5.5

$$(745+ \frac{ 65 }{ 13.6 } ) \times 5.5$$

Evaluate

$$\frac{560835}{136}\approx 4123.786764706$$

Solution Steps

Expand \frac{65}{13.6} by multiplying both numerator and the denominator by 10.

$$\left(745+\frac{650}{136}\right)\times 5.5$$

Reduce the fraction \frac{650}{136} to lowest terms by extracting and canceling out 2.

$$\left(745+\frac{325}{68}\right)\times 5.5$$

Convert 745 to fraction \frac{50660}{68}.

$$\left(\frac{50660}{68}+\frac{325}{68}\right)\times 5.5$$

Since \frac{50660}{68} and \frac{325}{68} have the same denominator, add them by adding their numerators.

$$\frac{50660+325}{68}\times 5.5$$

Add 50660 and 325 to get 50985.

$$\frac{50985}{68}\times 5.5$$

Convert decimal number 5.5 to fraction \frac{55}{10}. Reduce the fraction \frac{55}{10} to lowest terms by extracting and canceling out 5.

$$\frac{50985}{68}\times \frac{11}{2}$$

Multiply \frac{50985}{68} times \frac{11}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{50985\times 11}{68\times 2}$$

Do the multiplications in the fraction \frac{50985\times 11}{68\times 2}.

$$\frac{560835}{136}$$

Factor

$$\frac{5 \cdot 103 \cdot 3 ^ {2} \cdot 11 ^ {2}}{17 \cdot 2 ^ {3}} = 4123\frac{107}{136} = 4123.786764705882$$