Solve left(3.2/16+4.4/44right)0.0821*300

$$\left( \frac{ 3.2 }{ 16 } + \frac{ 4.4 }{ 44 } \right) 0.0821 \times 300$$

Evaluate

$$7.389$$

Solution Steps

Expand \frac{3.2}{16} by multiplying both numerator and the denominator by 10.

$$\left(\frac{32}{160}+\frac{4.4}{44}\right)\times 0.0821\times 300$$

Reduce the fraction \frac{32}{160} to lowest terms by extracting and canceling out 32.

$$\left(\frac{1}{5}+\frac{4.4}{44}\right)\times 0.0821\times 300$$

Expand \frac{4.4}{44} by multiplying both numerator and the denominator by 10.

$$\left(\frac{1}{5}+\frac{44}{440}\right)\times 0.0821\times 300$$

Reduce the fraction \frac{44}{440} to lowest terms by extracting and canceling out 44.

$$\left(\frac{1}{5}+\frac{1}{10}\right)\times 0.0821\times 300$$

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{1}{10} to fractions with denominator 10.

$$\left(\frac{2}{10}+\frac{1}{10}\right)\times 0.0821\times 300$$

Since \frac{2}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{10}\times 0.0821\times 300$$

Add 2 and 1 to get 3.

$$\frac{3}{10}\times 0.0821\times 300$$

Convert decimal number 0.0821 to fraction \frac{821}{10000}.

$$\frac{3}{10}\times \frac{821}{10000}\times 300$$

Multiply \frac{3}{10} times \frac{821}{10000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 821}{10\times 10000}\times 300$$

Do the multiplications in the fraction \frac{3\times 821}{10\times 10000}.

$$\frac{2463}{100000}\times 300$$

Express \frac{2463}{100000}\times 300 as a single fraction.

$$\frac{2463\times 300}{100000}$$

Multiply 2463 and 300 to get 738900.

$$\frac{738900}{100000}$$

Reduce the fraction \frac{738900}{100000} to lowest terms by extracting and canceling out 100.

$$\frac{7389}{1000}$$

Factor

$$\frac{821 \cdot 3 ^ {2}}{2 ^ {3} \cdot 5 ^ {3}} = 7\frac{389}{1000} = 7.389$$