Solve 31.39+1.10%=

$$31.39+1.10 \% =$$

Evaluate

$$31.401$$

Solution Steps

Expand \frac{1.1}{100} by multiplying both numerator and the denominator by 10.

$$31.39+\frac{11}{1000}$$

Convert decimal number 31.39 to fraction \frac{3139}{100}.

$$\frac{3139}{100}+\frac{11}{1000}$$

Least common multiple of 100 and 1000 is 1000. Convert \frac{3139}{100} and \frac{11}{1000} to fractions with denominator 1000.

$$\frac{31390}{1000}+\frac{11}{1000}$$

Since \frac{31390}{1000} and \frac{11}{1000} have the same denominator, add them by adding their numerators.

$$\frac{31390+11}{1000}$$

Add 31390 and 11 to get 31401.

$$\frac{31401}{1000}$$

Factor

$$\frac{1163 \cdot 3 ^ {3}}{2 ^ {3} \cdot 5 ^ {3}} = 31\frac{401}{1000} = 31.401$$