Solve 53/10+11/5+11/2

$$5 \frac{ 3 }{ 10 } +1 \frac{ 1 }{ 5 } +1 \frac{ 1 }{ 2 }$$

Evaluate

$$8$$

Solution Steps

Multiply 5 and 10 to get 50.

$$\frac{50+3}{10}+\frac{1\times 5+1}{5}+\frac{1\times 2+1}{2}$$

Add 50 and 3 to get 53.

$$\frac{53}{10}+\frac{1\times 5+1}{5}+\frac{1\times 2+1}{2}$$

Multiply 1 and 5 to get 5.

$$\frac{53}{10}+\frac{5+1}{5}+\frac{1\times 2+1}{2}$$

Add 5 and 1 to get 6.

$$\frac{53}{10}+\frac{6}{5}+\frac{1\times 2+1}{2}$$

Least common multiple of 10 and 5 is 10. Convert \frac{53}{10} and \frac{6}{5} to fractions with denominator 10.

$$\frac{53}{10}+\frac{12}{10}+\frac{1\times 2+1}{2}$$

Since \frac{53}{10} and \frac{12}{10} have the same denominator, add them by adding their numerators.

$$\frac{53+12}{10}+\frac{1\times 2+1}{2}$$

Add 53 and 12 to get 65.

$$\frac{65}{10}+\frac{1\times 2+1}{2}$$

Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$\frac{13}{2}+\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{13}{2}+\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{13}{2}+\frac{3}{2}$$

Since \frac{13}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{13+3}{2}$$

Add 13 and 3 to get 16.

$$\frac{16}{2}$$

Divide 16 by 2 to get 8.

$$8$$

Factor

$$2^{3}$$