Solve 1/4+1/4<1/5+4/5

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

Verify

Solution Steps

Since \frac{1}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add 1 and 1 to get 2.

$$\frac{2}{4}<\frac{1}{5}+\frac{4}{5}$$

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

$$\frac{1}{2}<\frac{1}{5}+\frac{4}{5}$$

Since \frac{1}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}<\frac{1+4}{5}$$

Add 1 and 4 to get 5.

$$\frac{1}{2}<\frac{5}{5}$$

Divide 5 by 5 to get 1.

$$\frac{1}{2}<1$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{1}{2}<\frac{2}{2}$$

Compare \frac{1}{2} and \frac{2}{2}.

$$\text{true}$$