Solve 4.6div2+2.5+3+3.1=

$$4.6 \div 2+2.5+3+3.1=$$

Evaluate

$$10.9$$

Solution Steps

Expand \frac{4.6}{2} by multiplying both numerator and the denominator by 10.

$$\frac{46}{20}+2.5+3+3.1$$

Reduce the fraction \frac{46}{20} to lowest terms by extracting and canceling out 2.

$$\frac{23}{10}+2.5+3+3.1$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{23}{10}+\frac{5}{2}+3+3.1$$

Least common multiple of 10 and 2 is 10. Convert \frac{23}{10} and \frac{5}{2} to fractions with denominator 10.

$$\frac{23}{10}+\frac{25}{10}+3+3.1$$

Since \frac{23}{10} and \frac{25}{10} have the same denominator, add them by adding their numerators.

$$\frac{23+25}{10}+3+3.1$$

Add 23 and 25 to get 48.

$$\frac{48}{10}+3+3.1$$

Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$\frac{24}{5}+3+3.1$$

Convert 3 to fraction \frac{15}{5}.

$$\frac{24}{5}+\frac{15}{5}+3.1$$

Since \frac{24}{5} and \frac{15}{5} have the same denominator, add them by adding their numerators.

$$\frac{24+15}{5}+3.1$$

Add 24 and 15 to get 39.

$$\frac{39}{5}+3.1$$

Convert decimal number 3.1 to fraction \frac{31}{10}.

$$\frac{39}{5}+\frac{31}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{39}{5} and \frac{31}{10} to fractions with denominator 10.

$$\frac{78}{10}+\frac{31}{10}$$

Since \frac{78}{10} and \frac{31}{10} have the same denominator, add them by adding their numerators.

$$\frac{78+31}{10}$$

Add 78 and 31 to get 109.

$$\frac{109}{10}$$

Factor

$$\frac{109}{2 \cdot 5} = 10\frac{9}{10} = 10.9$$