Solve 41/10-34/5

$$4 \frac{ 1 }{ 10 } -3 \frac{ 4 }{ 5 }$$

Evaluate

$$\frac{3}{10}=0.3$$

Solution Steps

Multiply 4 and 10 to get 40.

$$\frac{40+1}{10}-\frac{3\times 5+4}{5}$$

Add 40 and 1 to get 41.

$$\frac{41}{10}-\frac{3\times 5+4}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{41}{10}-\frac{15+4}{5}$$

Add 15 and 4 to get 19.

$$\frac{41}{10}-\frac{19}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{41}{10} and \frac{19}{5} to fractions with denominator 10.

$$\frac{41}{10}-\frac{38}{10}$$

Since \frac{41}{10} and \frac{38}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{41-38}{10}$$

Subtract 38 from 41 to get 3.

$$\frac{3}{10}$$

Factor

$$\frac{3}{2 \cdot 5} = 0.3$$