Solve 7+4+93/5+11/2

$$7+4+9 \frac{ 3 }{ 5 } +1 \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{221}{10}=22.1$$

Solution Steps

Add 7 and 4 to get 11.

$$11+\frac{9\times 5+3}{5}+\frac{1\times 2+1}{2}$$

Multiply 9 and 5 to get 45.

$$11+\frac{45+3}{5}+\frac{1\times 2+1}{2}$$

Add 45 and 3 to get 48.

$$11+\frac{48}{5}+\frac{1\times 2+1}{2}$$

Convert 11 to fraction \frac{55}{5}.

$$\frac{55}{5}+\frac{48}{5}+\frac{1\times 2+1}{2}$$

Since \frac{55}{5} and \frac{48}{5} have the same denominator, add them by adding their numerators.

$$\frac{55+48}{5}+\frac{1\times 2+1}{2}$$

Add 55 and 48 to get 103.

$$\frac{103}{5}+\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{103}{5}+\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{103}{5}+\frac{3}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{103}{5} and \frac{3}{2} to fractions with denominator 10.

$$\frac{206}{10}+\frac{15}{10}$$

Since \frac{206}{10} and \frac{15}{10} have the same denominator, add them by adding their numerators.

$$\frac{206+15}{10}$$

Add 206 and 15 to get 221.

$$\frac{221}{10}$$

Factor

$$\frac{13 \cdot 17}{2 \cdot 5} = 22\frac{1}{10} = 22.1$$