Solve (12.9div8.6+5.3)*6.5

$$( 12.9 \div 8.6 + 5.3 ) \times 6.5$$

Evaluate

$$44.2$$

Solution Steps

Expand \frac{12.9}{8.6} by multiplying both numerator and the denominator by 10.

$$\left(\frac{129}{86}+5.3\right)\times 6.5$$

Reduce the fraction \frac{129}{86} to lowest terms by extracting and canceling out 43.

$$\left(\frac{3}{2}+5.3\right)\times 6.5$$

Convert decimal number 5.3 to fraction \frac{53}{10}.

$$\left(\frac{3}{2}+\frac{53}{10}\right)\times 6.5$$

Least common multiple of 2 and 10 is 10. Convert \frac{3}{2} and \frac{53}{10} to fractions with denominator 10.

$$\left(\frac{15}{10}+\frac{53}{10}\right)\times 6.5$$

Since \frac{15}{10} and \frac{53}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+53}{10}\times 6.5$$

Add 15 and 53 to get 68.

$$\frac{68}{10}\times 6.5$$

Reduce the fraction \frac{68}{10} to lowest terms by extracting and canceling out 2.

$$\frac{34}{5}\times 6.5$$

Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$\frac{34}{5}\times \frac{13}{2}$$

Multiply \frac{34}{5} times \frac{13}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{34\times 13}{5\times 2}$$

Do the multiplications in the fraction \frac{34\times 13}{5\times 2}.

$$\frac{442}{10}$$

Reduce the fraction \frac{442}{10} to lowest terms by extracting and canceling out 2.

$$\frac{221}{5}$$

Factor

$$\frac{13 \cdot 17}{5} = 44\frac{1}{5} = 44.2$$