Solve 64.69%*115+4.28%*113/100%

$$\frac{ 64.69 \% \times 115+4.28 \% \times 113 }{ 100 \% }$$

Evaluate

$$79.2299$$

Solution Steps

Divide 100 by 100 to get 1.

$$\frac{\frac{64.69}{100}\times 115+\frac{4.28}{100}\times 113}{1}$$

Expand \frac{64.69}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{6469}{10000}\times 115+\frac{4.28}{100}\times 113}{1}$$

Express \frac{6469}{10000}\times 115 as a single fraction.

$$\frac{\frac{6469\times 115}{10000}+\frac{4.28}{100}\times 113}{1}$$

Multiply 6469 and 115 to get 743935.

$$\frac{\frac{743935}{10000}+\frac{4.28}{100}\times 113}{1}$$

Reduce the fraction \frac{743935}{10000} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{148787}{2000}+\frac{4.28}{100}\times 113}{1}$$

Expand \frac{4.28}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{148787}{2000}+\frac{428}{10000}\times 113}{1}$$

Reduce the fraction \frac{428}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{148787}{2000}+\frac{107}{2500}\times 113}{1}$$

Express \frac{107}{2500}\times 113 as a single fraction.

$$\frac{\frac{148787}{2000}+\frac{107\times 113}{2500}}{1}$$

Multiply 107 and 113 to get 12091.

$$\frac{\frac{148787}{2000}+\frac{12091}{2500}}{1}$$

Least common multiple of 2000 and 2500 is 10000. Convert \frac{148787}{2000} and \frac{12091}{2500} to fractions with denominator 10000.

$$\frac{\frac{743935}{10000}+\frac{48364}{10000}}{1}$$

Since \frac{743935}{10000} and \frac{48364}{10000} have the same denominator, add them by adding their numerators.

$$\frac{\frac{743935+48364}{10000}}{1}$$

Add 743935 and 48364 to get 792299.

$$\frac{\frac{792299}{10000}}{1}$$

Anything divided by one gives itself.

$$\frac{792299}{10000}$$

Factor

$$\frac{792299}{2 ^ {4} \cdot 5 ^ {4}} = 79\frac{2299}{10000} = 79.2299$$