Solve 31/10+41/2

$$3 \frac { 1 } { 10 } + 4 \frac { 1 } { 2 }$$

Evaluate

$$\frac{38}{5}=7.6$$

Solution Steps

Multiply 3 and 10 to get 30.

$$\frac{30+1}{10}+\frac{4\times 2+1}{2}$$

Add 30 and 1 to get 31.

$$\frac{31}{10}+\frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{31}{10}+\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{31}{10}+\frac{9}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{31}{10} and \frac{9}{2} to fractions with denominator 10.

$$\frac{31}{10}+\frac{45}{10}$$

Since \frac{31}{10} and \frac{45}{10} have the same denominator, add them by adding their numerators.

$$\frac{31+45}{10}$$

Add 31 and 45 to get 76.

$$\frac{76}{10}$$

Reduce the fraction \frac{76}{10} to lowest terms by extracting and canceling out 2.

$$\frac{38}{5}$$

Factor

$$\frac{2 \cdot 19}{5} = 7\frac{3}{5} = 7.6$$