Solve =100[30.08+40.98/2+28.06+22.50+49.28]

$$= 100 [ \frac { 30.08 + 40.98 } { 2 } + 28.06 + 22.50 + 49.28 ]$$

Evaluate

$$13537$$

Solution Steps

Add 30.08 and 40.98 to get 71.06.

$$100\left(\frac{71.06}{2}+28.06+22.5+49.28\right)$$

Expand \frac{71.06}{2} by multiplying both numerator and the denominator by 100.

$$100\left(\frac{7106}{200}+28.06+22.5+49.28\right)$$

Reduce the fraction \frac{7106}{200} to lowest terms by extracting and canceling out 2.

$$100\left(\frac{3553}{100}+28.06+22.5+49.28\right)$$

Convert decimal number 28.06 to fraction \frac{2806}{100}. Reduce the fraction \frac{2806}{100} to lowest terms by extracting and canceling out 2.

$$100\left(\frac{3553}{100}+\frac{1403}{50}+22.5+49.28\right)$$

Least common multiple of 100 and 50 is 100. Convert \frac{3553}{100} and \frac{1403}{50} to fractions with denominator 100.

$$100\left(\frac{3553}{100}+\frac{2806}{100}+22.5+49.28\right)$$

Since \frac{3553}{100} and \frac{2806}{100} have the same denominator, add them by adding their numerators.

$$100\left(\frac{3553+2806}{100}+22.5+49.28\right)$$

Add 3553 and 2806 to get 6359.

$$100\left(\frac{6359}{100}+22.5+49.28\right)$$

Convert decimal number 22.5 to fraction \frac{225}{10}. Reduce the fraction \frac{225}{10} to lowest terms by extracting and canceling out 5.

$$100\left(\frac{6359}{100}+\frac{45}{2}+49.28\right)$$

Least common multiple of 100 and 2 is 100. Convert \frac{6359}{100} and \frac{45}{2} to fractions with denominator 100.

$$100\left(\frac{6359}{100}+\frac{2250}{100}+49.28\right)$$

Since \frac{6359}{100} and \frac{2250}{100} have the same denominator, add them by adding their numerators.

$$100\left(\frac{6359+2250}{100}+49.28\right)$$

Add 6359 and 2250 to get 8609.

$$100\left(\frac{8609}{100}+49.28\right)$$

Convert decimal number 49.28 to fraction \frac{4928}{100}. Reduce the fraction \frac{4928}{100} to lowest terms by extracting and canceling out 4.

$$100\left(\frac{8609}{100}+\frac{1232}{25}\right)$$

Least common multiple of 100 and 25 is 100. Convert \frac{8609}{100} and \frac{1232}{25} to fractions with denominator 100.

$$100\left(\frac{8609}{100}+\frac{4928}{100}\right)$$

Since \frac{8609}{100} and \frac{4928}{100} have the same denominator, add them by adding their numerators.

$$100\times \frac{8609+4928}{100}$$

Add 8609 and 4928 to get 13537.

$$100\times \frac{13537}{100}$$

Cancel out 100 and 100.

$$13537$$

Factor

$$13537$$