Solve 4/5*3.8+5.2*80%+0.8

$$\frac{ 4 }{ 5 } \times 3.8+5.2 \times 80 \% +0.8$$

Evaluate

$$8$$

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.

$$\frac{4}{5}\times \frac{19}{5}+5.2\times \frac{80}{100}+0.8$$

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

$$\frac{4\times 19}{5\times 5}+5.2\times \frac{80}{100}+0.8$$

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

$$\frac{76}{25}+5.2\times \frac{80}{100}+0.8$$

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{76}{25}+5.2\times \frac{4}{5}+0.8$$

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.

$$\frac{76}{25}+\frac{26}{5}\times \frac{4}{5}+0.8$$

Multiply \frac{26}{5} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{76}{25}+\frac{26\times 4}{5\times 5}+0.8$$

Do the multiplications in the fraction \frac{26\times 4}{5\times 5}.

$$\frac{76}{25}+\frac{104}{25}+0.8$$

Since \frac{76}{25} and \frac{104}{25} have the same denominator, add them by adding their numerators.

$$\frac{76+104}{25}+0.8$$

Add 76 and 104 to get 180.

$$\frac{180}{25}+0.8$$

Reduce the fraction \frac{180}{25} to lowest terms by extracting and canceling out 5.

$$\frac{36}{5}+0.8$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{36}{5}+\frac{4}{5}$$

Since \frac{36}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{36+4}{5}$$

Add 36 and 4 to get 40.

$$\frac{40}{5}$$

Divide 40 by 5 to get 8.

$$8$$

Factor

$$2^{3}$$