Solve 1/4+1/4+1/4geq3/7

$$\frac { 1 } { 4 } + \frac { 1 } { 4 } + \frac { 1 } { 4 } \geq \frac { 3 } { 7 }$$

Verify

Solution Steps

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

$$\frac{1+1}{4}+\frac{1}{4}\geq \frac{3}{7}$$

Add 1 and 1 to get 2.

$$\frac{2}{4}+\frac{1}{4}\geq \frac{3}{7}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{4}\geq \frac{3}{7}$$

Add 2 and 1 to get 3.

$$\frac{3}{4}\geq \frac{3}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{3}{4} and \frac{3}{7} to fractions with denominator 28.

$$\frac{21}{28}\geq \frac{12}{28}$$

Compare \frac{21}{28} and \frac{12}{28}.

$$\text{true}$$