Solve 76%*34.97+14%*36.97=

$$76 \% \times 34.97 + 14 \% \times 36.97 =$$

Evaluate

$$31.753$$

Solution Steps

Reduce the fraction \frac{76}{100} to lowest terms by extracting and canceling out 4.

$$\frac{19}{25}\times 34.97+\frac{14}{100}\times 36.97$$

Convert decimal number 34.97 to fraction \frac{3497}{100}.

$$\frac{19}{25}\times \frac{3497}{100}+\frac{14}{100}\times 36.97$$

Multiply \frac{19}{25} times \frac{3497}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 3497}{25\times 100}+\frac{14}{100}\times 36.97$$

Do the multiplications in the fraction \frac{19\times 3497}{25\times 100}.

$$\frac{66443}{2500}+\frac{14}{100}\times 36.97$$

Reduce the fraction \frac{14}{100} to lowest terms by extracting and canceling out 2.

$$\frac{66443}{2500}+\frac{7}{50}\times 36.97$$

Convert decimal number 36.97 to fraction \frac{3697}{100}.

$$\frac{66443}{2500}+\frac{7}{50}\times \frac{3697}{100}$$

Multiply \frac{7}{50} times \frac{3697}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{66443}{2500}+\frac{7\times 3697}{50\times 100}$$

Do the multiplications in the fraction \frac{7\times 3697}{50\times 100}.

$$\frac{66443}{2500}+\frac{25879}{5000}$$

Least common multiple of 2500 and 5000 is 5000. Convert \frac{66443}{2500} and \frac{25879}{5000} to fractions with denominator 5000.

$$\frac{132886}{5000}+\frac{25879}{5000}$$

Since \frac{132886}{5000} and \frac{25879}{5000} have the same denominator, add them by adding their numerators.

$$\frac{132886+25879}{5000}$$

Add 132886 and 25879 to get 158765.

$$\frac{158765}{5000}$$

Reduce the fraction \frac{158765}{5000} to lowest terms by extracting and canceling out 5.

$$\frac{31753}{1000}$$

Factor

$$\frac{113 \cdot 281}{2 ^ {3} \cdot 5 ^ {3}} = 31\frac{753}{1000} = 31.753$$