Solve 73/5-43/10

$$7 \frac{ 3 }{ 5 } -4 \frac{ 3 }{ 10 }$$

Evaluate

$$\frac{33}{10}=3.3$$

Solution Steps

Multiply 7 and 5 to get 35.

$$\frac{35+3}{5}-\frac{4\times 10+3}{10}$$

Add 35 and 3 to get 38.

$$\frac{38}{5}-\frac{4\times 10+3}{10}$$

Multiply 4 and 10 to get 40.

$$\frac{38}{5}-\frac{40+3}{10}$$

Add 40 and 3 to get 43.

$$\frac{38}{5}-\frac{43}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{38}{5} and \frac{43}{10} to fractions with denominator 10.

$$\frac{76}{10}-\frac{43}{10}$$

Since \frac{76}{10} and \frac{43}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{76-43}{10}$$

Subtract 43 from 76 to get 33.

$$\frac{33}{10}$$

Factor

$$\frac{3 \cdot 11}{2 \cdot 5} = 3\frac{3}{10} = 3.3$$