Solve 41/2+32/10

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

Evaluate

$$\frac{77}{10}=7.7$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8+1}{2}+\frac{3\times 10+2}{10}$$

Add 8 and 1 to get 9.

$$\frac{9}{2}+\frac{3\times 10+2}{10}$$

Multiply 3 and 10 to get 30.

$$\frac{9}{2}+\frac{30+2}{10}$$

Add 30 and 2 to get 32.

$$\frac{9}{2}+\frac{32}{10}$$

Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}+\frac{16}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{9}{2} and \frac{16}{5} to fractions with denominator 10.

$$\frac{45}{10}+\frac{32}{10}$$

Since \frac{45}{10} and \frac{32}{10} have the same denominator, add them by adding their numerators.

$$\frac{45+32}{10}$$

Add 45 and 32 to get 77.

$$\frac{77}{10}$$

Factor

$$\frac{7 \cdot 11}{2 \cdot 5} = 7\frac{7}{10} = 7.7$$