Solve 43/4+33/10

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

Evaluate

$$\frac{161}{20}=8.05$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+3}{4}+\frac{3\times 10+3}{10}$$

Add 16 and 3 to get 19.

$$\frac{19}{4}+\frac{3\times 10+3}{10}$$

Multiply 3 and 10 to get 30.

$$\frac{19}{4}+\frac{30+3}{10}$$

Add 30 and 3 to get 33.

$$\frac{19}{4}+\frac{33}{10}$$

Least common multiple of 4 and 10 is 20. Convert \frac{19}{4} and \frac{33}{10} to fractions with denominator 20.

$$\frac{95}{20}+\frac{66}{20}$$

Since \frac{95}{20} and \frac{66}{20} have the same denominator, add them by adding their numerators.

$$\frac{95+66}{20}$$

Add 95 and 66 to get 161.

$$\frac{161}{20}$$

Factor

$$\frac{7 \cdot 23}{2 ^ {2} \cdot 5} = 8\frac{1}{20} = 8.05$$