Solve 1+2/5/2-frac{1{4}}-3

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

Evaluate

$$-\frac{11}{5}=-2.2$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

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

Since \frac{5}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

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

Add 5 and 2 to get 7.

$$\frac{\frac{7}{5}}{2-\frac{1}{4}}-3$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{\frac{7}{5}}{\frac{8}{4}-\frac{1}{4}}-3$$

Since \frac{8}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{7}{5}}{\frac{8-1}{4}}-3$$

Subtract 1 from 8 to get 7.

$$\frac{\frac{7}{5}}{\frac{7}{4}}-3$$

Divide \frac{7}{5} by \frac{7}{4} by multiplying \frac{7}{5} by the reciprocal of \frac{7}{4}.

$$\frac{7}{5}\times \frac{4}{7}-3$$

Multiply \frac{7}{5} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 4}{5\times 7}-3$$

Cancel out 7 in both numerator and denominator.

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

Convert 3 to fraction \frac{15}{5}.

$$\frac{4}{5}-\frac{15}{5}$$

Since \frac{4}{5} and \frac{15}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-15}{5}$$

Subtract 15 from 4 to get -11.

$$-\frac{11}{5}$$

Factor

$$-\frac{11}{5} = -2\frac{1}{5} = -2.2$$