Solve 92.1*52%+85*26%+69.2*188+4.3*4%

$$92.1 \times 52 \% + 85 \times 26 \% + 69.2 \times 188 + 4.3 \times 4 \%$$

Evaluate

$$13079.764$$

Solution Steps

Reduce the fraction \frac{52}{100} to lowest terms by extracting and canceling out 4.

$$92.1\times \frac{13}{25}+85\times \frac{26}{100}+69.2\times 188+4.3\times \frac{4}{100}$$

Convert decimal number 92.1 to fraction \frac{921}{10}.

$$\frac{921}{10}\times \frac{13}{25}+85\times \frac{26}{100}+69.2\times 188+4.3\times \frac{4}{100}$$

Multiply \frac{921}{10} times \frac{13}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{921\times 13}{10\times 25}+85\times \frac{26}{100}+69.2\times 188+4.3\times \frac{4}{100}$$

Do the multiplications in the fraction \frac{921\times 13}{10\times 25}.

$$\frac{11973}{250}+85\times \frac{26}{100}+69.2\times 188+4.3\times \frac{4}{100}$$

Reduce the fraction \frac{26}{100} to lowest terms by extracting and canceling out 2.

$$\frac{11973}{250}+85\times \frac{13}{50}+69.2\times 188+4.3\times \frac{4}{100}$$

Express 85\times \frac{13}{50} as a single fraction.

$$\frac{11973}{250}+\frac{85\times 13}{50}+69.2\times 188+4.3\times \frac{4}{100}$$

Multiply 85 and 13 to get 1105.

$$\frac{11973}{250}+\frac{1105}{50}+69.2\times 188+4.3\times \frac{4}{100}$$

Reduce the fraction \frac{1105}{50} to lowest terms by extracting and canceling out 5.

$$\frac{11973}{250}+\frac{221}{10}+69.2\times 188+4.3\times \frac{4}{100}$$

Least common multiple of 250 and 10 is 250. Convert \frac{11973}{250} and \frac{221}{10} to fractions with denominator 250.

$$\frac{11973}{250}+\frac{5525}{250}+69.2\times 188+4.3\times \frac{4}{100}$$

Since \frac{11973}{250} and \frac{5525}{250} have the same denominator, add them by adding their numerators.

$$\frac{11973+5525}{250}+69.2\times 188+4.3\times \frac{4}{100}$$

Add 11973 and 5525 to get 17498.

$$\frac{17498}{250}+69.2\times 188+4.3\times \frac{4}{100}$$

Reduce the fraction \frac{17498}{250} to lowest terms by extracting and canceling out 2.

$$\frac{8749}{125}+69.2\times 188+4.3\times \frac{4}{100}$$

Multiply 69.2 and 188 to get 13009.6.

$$\frac{8749}{125}+13009.6+4.3\times \frac{4}{100}$$

Convert decimal number 13009.6 to fraction \frac{130096}{10}. Reduce the fraction \frac{130096}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8749}{125}+\frac{65048}{5}+4.3\times \frac{4}{100}$$

Least common multiple of 125 and 5 is 125. Convert \frac{8749}{125} and \frac{65048}{5} to fractions with denominator 125.

$$\frac{8749}{125}+\frac{1626200}{125}+4.3\times \frac{4}{100}$$

Since \frac{8749}{125} and \frac{1626200}{125} have the same denominator, add them by adding their numerators.

$$\frac{8749+1626200}{125}+4.3\times \frac{4}{100}$$

Add 8749 and 1626200 to get 1634949.

$$\frac{1634949}{125}+4.3\times \frac{4}{100}$$

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

$$\frac{1634949}{125}+4.3\times \frac{1}{25}$$

Convert decimal number 4.3 to fraction \frac{43}{10}.

$$\frac{1634949}{125}+\frac{43}{10}\times \frac{1}{25}$$

Multiply \frac{43}{10} times \frac{1}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1634949}{125}+\frac{43\times 1}{10\times 25}$$

Do the multiplications in the fraction \frac{43\times 1}{10\times 25}.

$$\frac{1634949}{125}+\frac{43}{250}$$

Least common multiple of 125 and 250 is 250. Convert \frac{1634949}{125} and \frac{43}{250} to fractions with denominator 250.

$$\frac{3269898}{250}+\frac{43}{250}$$

Since \frac{3269898}{250} and \frac{43}{250} have the same denominator, add them by adding their numerators.

$$\frac{3269898+43}{250}$$

Add 3269898 and 43 to get 3269941.

$$\frac{3269941}{250}$$

Factor

$$\frac{53 \cdot 103 \cdot 599}{2 \cdot 5 ^ {3}} = 13079\frac{191}{250} = 13079.764$$