Solve [36+1,96*4/10]

$$[ 36 + 1,96 \cdot \frac { 4 } { 10 } ]$$

Evaluate

$$36,784$$

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$36+1,96\times \frac{2}{5}$$

Convert decimal number 1,96 to fraction \frac{196}{100}. Reduce the fraction \frac{196}{100} to lowest terms by extracting and canceling out 4.

$$36+\frac{49}{25}\times \frac{2}{5}$$

Multiply \frac{49}{25} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$36+\frac{49\times 2}{25\times 5}$$

Do the multiplications in the fraction \frac{49\times 2}{25\times 5}.

$$36+\frac{98}{125}$$

Convert 36 to fraction \frac{4500}{125}.

$$\frac{4500}{125}+\frac{98}{125}$$

Since \frac{4500}{125} and \frac{98}{125} have the same denominator, add them by adding their numerators.

$$\frac{4500+98}{125}$$

Add 4500 and 98 to get 4598.

$$\frac{4598}{125}$$

Factor

$$\frac{2 \cdot 19 \cdot 11 ^ {2}}{5 ^ {3}} = 36\frac{98}{125} = 36.784$$