Solve 34/10-3/2

$$3 \frac{ 4 }{ 10 } - \frac{ 3 }{ 2 }$$

Evaluate

$$\frac{19}{10}=1.9$$

Solution Steps

Multiply 3 and 10 to get 30.

$$\frac{30+4}{10}-\frac{3}{2}$$

Add 30 and 4 to get 34.

$$\frac{34}{10}-\frac{3}{2}$$

Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$\frac{17}{5}-\frac{3}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{17}{5} and \frac{3}{2} to fractions with denominator 10.

$$\frac{34}{10}-\frac{15}{10}$$

Since \frac{34}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-15}{10}$$

Subtract 15 from 34 to get 19.

$$\frac{19}{10}$$

Factor

$$\frac{19}{2 \cdot 5} = 1\frac{9}{10} = 1.9$$