Solve 9.98/10013.4+2.52=

$$\frac{ 9.98 }{ 100 } 13.4+2.52=$$

Evaluate

$$3.85732$$

Solution Steps

Expand \frac{9.98}{100} by multiplying both numerator and the denominator by 100.

$$\frac{998}{10000}\times 13.4+2.52$$

Reduce the fraction \frac{998}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{499}{5000}\times 13.4+2.52$$

Convert decimal number 13.4 to fraction \frac{134}{10}. Reduce the fraction \frac{134}{10} to lowest terms by extracting and canceling out 2.

$$\frac{499}{5000}\times \frac{67}{5}+2.52$$

Multiply \frac{499}{5000} times \frac{67}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{499\times 67}{5000\times 5}+2.52$$

Do the multiplications in the fraction \frac{499\times 67}{5000\times 5}.

$$\frac{33433}{25000}+2.52$$

Convert decimal number 2.52 to fraction \frac{252}{100}. Reduce the fraction \frac{252}{100} to lowest terms by extracting and canceling out 4.

$$\frac{33433}{25000}+\frac{63}{25}$$

Least common multiple of 25000 and 25 is 25000. Convert \frac{33433}{25000} and \frac{63}{25} to fractions with denominator 25000.

$$\frac{33433}{25000}+\frac{63000}{25000}$$

Since \frac{33433}{25000} and \frac{63000}{25000} have the same denominator, add them by adding their numerators.

$$\frac{33433+63000}{25000}$$

Add 33433 and 63000 to get 96433.

$$\frac{96433}{25000}$$

Factor

$$\frac{73 \cdot 1321}{2 ^ {3} \cdot 5 ^ {5}} = 3\frac{21433}{25000} = 3.85732$$