11/2-34/5-এর সমাধান করুন

$$1 \frac{ 1 }{ 2 } -3 \frac{ 4 }{ 5 }$$

Evaluate

$$-\frac{23}{10}=-2.3$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{2+1}{2}-\frac{3\times 5+4}{5}$$

Add 2 and 1 to get 3.

$$\frac{3}{2}-\frac{3\times 5+4}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{3}{2}-\frac{15+4}{5}$$

Add 15 and 4 to get 19.

$$\frac{3}{2}-\frac{19}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{19}{5} to fractions with denominator 10.

$$\frac{15}{10}-\frac{38}{10}$$

Since \frac{15}{10} and \frac{38}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-38}{10}$$

Subtract 38 from 15 to get -23.

$$-\frac{23}{10}$$

Factor

$$-\frac{23}{10} = -2\frac{3}{10} = -2.3$$