Solve 4/5*3.8+5.

$$\frac{ 4 }{ 5 } \times 3.8+5.$$

Evaluate

$$8.04$$

Solution Steps

Convert decimal number 3.8 to fraction \frac{38}{10}. Reduce the fraction \frac{38}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}\times \frac{19}{5}+5$$

Multiply \frac{4}{5} times \frac{19}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 19}{5\times 5}+5$$

Do the multiplications in the fraction \frac{4\times 19}{5\times 5}.

$$\frac{76}{25}+5$$

Convert 5 to fraction \frac{125}{25}.

$$\frac{76}{25}+\frac{125}{25}$$

Since \frac{76}{25} and \frac{125}{25} have the same denominator, add them by adding their numerators.

$$\frac{76+125}{25}$$

Add 76 and 125 to get 201.

$$\frac{201}{25}$$

Factor

$$\frac{3 \cdot 67}{5 ^ {2}} = 8\frac{1}{25} = 8.04$$