1/5-3/10+1/4*2/4=-এর সমাধান করুন

$$\frac { \frac { 1 } { 5 } - \frac { 3 } { 10 } + \frac { 1 } { 4 } \cdot 2 } { 4 } =$$

Evaluate

$$\frac{1}{10}=0.1$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{3}{10} to fractions with denominator 10.

$$\frac{\frac{2}{10}-\frac{3}{10}+\frac{1}{4}\times 2}{4}$$

Since \frac{2}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{2-3}{10}+\frac{1}{4}\times 2}{4}$$

Subtract 3 from 2 to get -1.

$$\frac{-\frac{1}{10}+\frac{1}{4}\times 2}{4}$$

Multiply \frac{1}{4} and 2 to get \frac{2}{4}.

$$\frac{-\frac{1}{10}+\frac{2}{4}}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{1}{10}+\frac{1}{2}}{4}$$

Least common multiple of 10 and 2 is 10. Convert -\frac{1}{10} and \frac{1}{2} to fractions with denominator 10.

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

Since -\frac{1}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

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

Add -1 and 5 to get 4.

$$\frac{\frac{4}{10}}{4}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2}{5}}{4}$$

Express \frac{\frac{2}{5}}{4} as a single fraction.

$$\frac{2}{5\times 4}$$

Multiply 5 and 4 to get 20.

$$\frac{2}{20}$$

Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$