Solve 024/5*8.6+24/5+24/8*5.4

$$02 \frac { 4 } { 5 } \times 8.6 + 2 \frac { 4 } { 5 } + 2 \frac { 4 } { 8 } \times 5.4$$

Evaluate

$$40.38$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+4}{5}\times 8.6+\frac{2\times 5+4}{5}+\frac{2\times 8+4}{8}\times 5.4$$

Add 10 and 4 to get 14.

$$\frac{14}{5}\times 8.6+\frac{2\times 5+4}{5}+\frac{2\times 8+4}{8}\times 5.4$$

Convert decimal number 8.6 to fraction \frac{86}{10}. Reduce the fraction \frac{86}{10} to lowest terms by extracting and canceling out 2.

$$\frac{14}{5}\times \frac{43}{5}+\frac{2\times 5+4}{5}+\frac{2\times 8+4}{8}\times 5.4$$

Multiply \frac{14}{5} times \frac{43}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 43}{5\times 5}+\frac{2\times 5+4}{5}+\frac{2\times 8+4}{8}\times 5.4$$

Do the multiplications in the fraction \frac{14\times 43}{5\times 5}.

$$\frac{602}{25}+\frac{2\times 5+4}{5}+\frac{2\times 8+4}{8}\times 5.4$$

Multiply 2 and 5 to get 10.

$$\frac{602}{25}+\frac{10+4}{5}+\frac{2\times 8+4}{8}\times 5.4$$

Add 10 and 4 to get 14.

$$\frac{602}{25}+\frac{14}{5}+\frac{2\times 8+4}{8}\times 5.4$$

Least common multiple of 25 and 5 is 25. Convert \frac{602}{25} and \frac{14}{5} to fractions with denominator 25.

$$\frac{602}{25}+\frac{70}{25}+\frac{2\times 8+4}{8}\times 5.4$$

Since \frac{602}{25} and \frac{70}{25} have the same denominator, add them by adding their numerators.

$$\frac{602+70}{25}+\frac{2\times 8+4}{8}\times 5.4$$

Add 602 and 70 to get 672.

$$\frac{672}{25}+\frac{2\times 8+4}{8}\times 5.4$$

Multiply 2 and 8 to get 16.

$$\frac{672}{25}+\frac{16+4}{8}\times 5.4$$

Add 16 and 4 to get 20.

$$\frac{672}{25}+\frac{20}{8}\times 5.4$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

$$\frac{672}{25}+\frac{5}{2}\times 5.4$$

Convert decimal number 5.4 to fraction \frac{54}{10}. Reduce the fraction \frac{54}{10} to lowest terms by extracting and canceling out 2.

$$\frac{672}{25}+\frac{5}{2}\times \frac{27}{5}$$

Multiply \frac{5}{2} times \frac{27}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{672}{25}+\frac{5\times 27}{2\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{672}{25}+\frac{27}{2}$$

Least common multiple of 25 and 2 is 50. Convert \frac{672}{25} and \frac{27}{2} to fractions with denominator 50.

$$\frac{1344}{50}+\frac{675}{50}$$

Since \frac{1344}{50} and \frac{675}{50} have the same denominator, add them by adding their numerators.

$$\frac{1344+675}{50}$$

Add 1344 and 675 to get 2019.

$$\frac{2019}{50}$$

Factor

$$\frac{3 \cdot 673}{2 \cdot 5 ^ {2}} = 40\frac{19}{50} = 40.38$$