Solve 6/5*2/3+5(6/5)+4

$$\frac{ 6 }{ 5 } \times \frac{ 2 }{ 3 } +5( \frac{ 6 }{ 5 } )+4$$

Evaluate

$$\frac{54}{5}=10.8$$

Solution Steps

Multiply \frac{6}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 2}{5\times 3}+5\times \frac{6}{5}+4$$

Do the multiplications in the fraction \frac{6\times 2}{5\times 3}.

$$\frac{12}{15}+5\times \frac{6}{5}+4$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}+5\times \frac{6}{5}+4$$

Cancel out 5 and 5.

$$\frac{4}{5}+6+4$$

Convert 6 to fraction \frac{30}{5}.

$$\frac{4}{5}+\frac{30}{5}+4$$

Since \frac{4}{5} and \frac{30}{5} have the same denominator, add them by adding their numerators.

$$\frac{4+30}{5}+4$$

Add 4 and 30 to get 34.

$$\frac{34}{5}+4$$

Convert 4 to fraction \frac{20}{5}.

$$\frac{34}{5}+\frac{20}{5}$$

Since \frac{34}{5} and \frac{20}{5} have the same denominator, add them by adding their numerators.

$$\frac{34+20}{5}$$

Add 34 and 20 to get 54.

$$\frac{54}{5}$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{5} = 10\frac{4}{5} = 10.8$$