Solve 4/5*3.8+5.2

$$\frac{ 4 }{ 5 } \times 3.8+5.2$$

Evaluate

$$8.24$$

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.

$$\frac{4}{5}\times \frac{19}{5}+5.2$$

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

$$\frac{4\times 19}{5\times 5}+5.2$$

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

$$\frac{76}{25}+5.2$$

Convert decimal number 5.2 to fraction \frac{52}{10}. Reduce the fraction \frac{52}{10} to lowest terms by extracting and canceling out 2.

$$\frac{76}{25}+\frac{26}{5}$$

Least common multiple of 25 and 5 is 25. Convert \frac{76}{25} and \frac{26}{5} to fractions with denominator 25.

$$\frac{76}{25}+\frac{130}{25}$$

Since \frac{76}{25} and \frac{130}{25} have the same denominator, add them by adding their numerators.

$$\frac{76+130}{25}$$

Add 76 and 130 to get 206.

$$\frac{206}{25}$$

Factor

$$\frac{2 \cdot 103}{5 ^ {2}} = 8\frac{6}{25} = 8.24$$