Solve 0,4-1/5/2frac{1{4}-1}=

$$\frac { 0,4 - \frac { 1 } { 5 } } { 2 \frac { 1 } { 4 } - 1 } =$$

Evaluate

$$0,16$$

Solution Steps

Convert decimal number 0,4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

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

Since \frac{2}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 2 to get 1.

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

Multiply 2 and 4 to get 8.

$$\frac{\frac{1}{5}}{\frac{8+1}{4}-1}$$

Add 8 and 1 to get 9.

$$\frac{\frac{1}{5}}{\frac{9}{4}-1}$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{\frac{1}{5}}{\frac{9}{4}-\frac{4}{4}}$$

Since \frac{9}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1}{5}}{\frac{9-4}{4}}$$

Subtract 4 from 9 to get 5.

$$\frac{\frac{1}{5}}{\frac{5}{4}}$$

Divide \frac{1}{5} by \frac{5}{4} by multiplying \frac{1}{5} by the reciprocal of \frac{5}{4}.

$$\frac{1}{5}\times \frac{4}{5}$$

Multiply \frac{1}{5} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{5\times 5}$$

Do the multiplications in the fraction \frac{1\times 4}{5\times 5}.

$$\frac{4}{25}$$

Factor

$$\frac{2 ^ {2}}{5 ^ {2}} = 0.16$$