Solve 1.24*4.5%+3.5%=

$$1.24 \times 4.5 \% +3.5 \% =$$

Evaluate

$$0.0908$$

Solution Steps

Expand \frac{4.5}{100} by multiplying both numerator and the denominator by 10.

$$1.24\times \frac{45}{1000}+\frac{3.5}{100}$$

Reduce the fraction \frac{45}{1000} to lowest terms by extracting and canceling out 5.

$$1.24\times \frac{9}{200}+\frac{3.5}{100}$$

Convert decimal number 1.24 to fraction \frac{124}{100}. Reduce the fraction \frac{124}{100} to lowest terms by extracting and canceling out 4.

$$\frac{31}{25}\times \frac{9}{200}+\frac{3.5}{100}$$

Multiply \frac{31}{25} times \frac{9}{200} by multiplying numerator times numerator and denominator times denominator.

$$\frac{31\times 9}{25\times 200}+\frac{3.5}{100}$$

Do the multiplications in the fraction \frac{31\times 9}{25\times 200}.

$$\frac{279}{5000}+\frac{3.5}{100}$$

Expand \frac{3.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{279}{5000}+\frac{35}{1000}$$

Reduce the fraction \frac{35}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{279}{5000}+\frac{7}{200}$$

Least common multiple of 5000 and 200 is 5000. Convert \frac{279}{5000} and \frac{7}{200} to fractions with denominator 5000.

$$\frac{279}{5000}+\frac{175}{5000}$$

Since \frac{279}{5000} and \frac{175}{5000} have the same denominator, add them by adding their numerators.

$$\frac{279+175}{5000}$$

Add 279 and 175 to get 454.

$$\frac{454}{5000}$$

Reduce the fraction \frac{454}{5000} to lowest terms by extracting and canceling out 2.

$$\frac{227}{2500}$$

Factor

$$\frac{227}{2 ^ {2} \cdot 5 ^ {4}} = 0.0908$$