Solve 1/22+1/4+1/4=500

$$\frac { 1 } { 2 } 2 + \frac { 1 } { 4 } + \frac { 1 } { 4 } = 500$$

Verify

Solution Steps

Cancel out 2 and 2.

$$1+\frac{1}{4}+\frac{1}{4}=500$$

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

$$\frac{4}{4}+\frac{1}{4}+\frac{1}{4}=500$$

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

$$\frac{4+1}{4}+\frac{1}{4}=500$$

Add 4 and 1 to get 5.

$$\frac{5}{4}+\frac{1}{4}=500$$

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

$$\frac{5+1}{4}=500$$

Add 5 and 1 to get 6.

$$\frac{6}{4}=500$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}=500$$

Convert 500 to fraction \frac{1000}{2}.

$$\frac{3}{2}=\frac{1000}{2}$$

Compare \frac{3}{2} and \frac{1000}{2}.

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