Solve 65.69%*115+4.28*113/100%

$$\frac{ 65.69 \% \times 115+4.28 \times 113 }{ 100 \% }$$

Evaluate

$$559.1835$$

Solution Steps

Divide 100 by 100 to get 1.

$$\frac{\frac{65.69}{100}\times 115+4.28\times 113}{1}$$

Expand \frac{65.69}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{6569}{10000}\times 115+4.28\times 113}{1}$$

Express \frac{6569}{10000}\times 115 as a single fraction.

$$\frac{\frac{6569\times 115}{10000}+4.28\times 113}{1}$$

Multiply 6569 and 115 to get 755435.

$$\frac{\frac{755435}{10000}+4.28\times 113}{1}$$

Reduce the fraction \frac{755435}{10000} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{151087}{2000}+4.28\times 113}{1}$$

Multiply 4.28 and 113 to get 483.64.

$$\frac{\frac{151087}{2000}+483.64}{1}$$

Convert decimal number 483.64 to fraction \frac{48364}{100}. Reduce the fraction \frac{48364}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{151087}{2000}+\frac{12091}{25}}{1}$$

Least common multiple of 2000 and 25 is 2000. Convert \frac{151087}{2000} and \frac{12091}{25} to fractions with denominator 2000.

$$\frac{\frac{151087}{2000}+\frac{967280}{2000}}{1}$$

Since \frac{151087}{2000} and \frac{967280}{2000} have the same denominator, add them by adding their numerators.

$$\frac{\frac{151087+967280}{2000}}{1}$$

Add 151087 and 967280 to get 1118367.

$$\frac{\frac{1118367}{2000}}{1}$$

Anything divided by one gives itself.

$$\frac{1118367}{2000}$$

Factor

$$\frac{13807 \cdot 3 ^ {4}}{2 ^ {4} \cdot 5 ^ {3}} = 559\frac{367}{2000} = 559.1835$$