Solve 14.8%+10.1%+14.8%*10.1%

$$14.8 \% + 10.1 \% + 14.8 \% \times 10.1 \%$$

Evaluate

$$0.263948$$

Solution Steps

Expand \frac{14.8}{100} by multiplying both numerator and the denominator by 10.

$$\frac{148}{1000}+\frac{10.1}{100}+\frac{14.8}{100}\times \frac{10.1}{100}$$

Reduce the fraction \frac{148}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{37}{250}+\frac{10.1}{100}+\frac{14.8}{100}\times \frac{10.1}{100}$$

Expand \frac{10.1}{100} by multiplying both numerator and the denominator by 10.

$$\frac{37}{250}+\frac{101}{1000}+\frac{14.8}{100}\times \frac{10.1}{100}$$

Least common multiple of 250 and 1000 is 1000. Convert \frac{37}{250} and \frac{101}{1000} to fractions with denominator 1000.

$$\frac{148}{1000}+\frac{101}{1000}+\frac{14.8}{100}\times \frac{10.1}{100}$$

Since \frac{148}{1000} and \frac{101}{1000} have the same denominator, add them by adding their numerators.

$$\frac{148+101}{1000}+\frac{14.8}{100}\times \frac{10.1}{100}$$

Add 148 and 101 to get 249.

$$\frac{249}{1000}+\frac{14.8}{100}\times \frac{10.1}{100}$$

Expand \frac{14.8}{100} by multiplying both numerator and the denominator by 10.

$$\frac{249}{1000}+\frac{148}{1000}\times \frac{10.1}{100}$$

Reduce the fraction \frac{148}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{249}{1000}+\frac{37}{250}\times \frac{10.1}{100}$$

Expand \frac{10.1}{100} by multiplying both numerator and the denominator by 10.

$$\frac{249}{1000}+\frac{37}{250}\times \frac{101}{1000}$$

Multiply \frac{37}{250} times \frac{101}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{249}{1000}+\frac{37\times 101}{250\times 1000}$$

Do the multiplications in the fraction \frac{37\times 101}{250\times 1000}.

$$\frac{249}{1000}+\frac{3737}{250000}$$

Least common multiple of 1000 and 250000 is 250000. Convert \frac{249}{1000} and \frac{3737}{250000} to fractions with denominator 250000.

$$\frac{62250}{250000}+\frac{3737}{250000}$$

Since \frac{62250}{250000} and \frac{3737}{250000} have the same denominator, add them by adding their numerators.

$$\frac{62250+3737}{250000}$$

Add 62250 and 3737 to get 65987.

$$\frac{65987}{250000}$$

Factor

$$\frac{19 \cdot 23 \cdot 151}{2 ^ {4} \cdot 5 ^ {6}} = 0.263948$$