Solve 0.8+0.15*16/20+0.05*12div19

$$0.8+0.15 \times \frac{ 16 }{ 20 } +0.05 \times 12 \div 19$$

Evaluate

$$\frac{452}{475}\approx 0.951578947$$

Solution Steps

Reduce the fraction \frac{16}{20} to lowest terms by extracting and canceling out 4.

$$0.8+0.15\times \frac{4}{5}+\frac{0.05\times 12}{19}$$

Convert decimal number 0.15 to fraction \frac{15}{100}. Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$0.8+\frac{3}{20}\times \frac{4}{5}+\frac{0.05\times 12}{19}$$

Multiply \frac{3}{20} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$0.8+\frac{3\times 4}{20\times 5}+\frac{0.05\times 12}{19}$$

Do the multiplications in the fraction \frac{3\times 4}{20\times 5}.

$$0.8+\frac{12}{100}+\frac{0.05\times 12}{19}$$

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$0.8+\frac{3}{25}+\frac{0.05\times 12}{19}$$

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.

$$\frac{4}{5}+\frac{3}{25}+\frac{0.05\times 12}{19}$$

Least common multiple of 5 and 25 is 25. Convert \frac{4}{5} and \frac{3}{25} to fractions with denominator 25.

$$\frac{20}{25}+\frac{3}{25}+\frac{0.05\times 12}{19}$$

Since \frac{20}{25} and \frac{3}{25} have the same denominator, add them by adding their numerators.

$$\frac{20+3}{25}+\frac{0.05\times 12}{19}$$

Add 20 and 3 to get 23.

$$\frac{23}{25}+\frac{0.05\times 12}{19}$$

Multiply 0.05 and 12 to get 0.6.

$$\frac{23}{25}+\frac{0.6}{19}$$

Expand \frac{0.6}{19} by multiplying both numerator and the denominator by 10.

$$\frac{23}{25}+\frac{6}{190}$$

Reduce the fraction \frac{6}{190} to lowest terms by extracting and canceling out 2.

$$\frac{23}{25}+\frac{3}{95}$$

Least common multiple of 25 and 95 is 475. Convert \frac{23}{25} and \frac{3}{95} to fractions with denominator 475.

$$\frac{437}{475}+\frac{15}{475}$$

Since \frac{437}{475} and \frac{15}{475} have the same denominator, add them by adding their numerators.

$$\frac{437+15}{475}$$

Add 437 and 15 to get 452.

$$\frac{452}{475}$$

Factor

$$\frac{113 \cdot 2 ^ {2}}{19 \cdot 5 ^ {2}} = 0.9515789473684211$$