Q: Which one is greater 1/2 or 3/4?

 Q: Which one is greater 1/2 or 3/4?

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Full math Solution Here 

To determine which fraction is greater between $\frac{1}{2}$ and $\frac{3}{4}$, you can compare them directly by converting them to a common denominator or by converting them to decimal form.

Method 1: Common Denominator

1. Convert both fractions to have the same denominator.
   • The least common denominator (LCD) of 2 and 4 is 4.
2. Convert $\frac{1}{2}$ to a fraction with a denominator of 4:
   $$\frac{1}{2}=\frac{1\times 2}{2\times 2}=\frac{2}{4}$$
3. $\frac{3}{4}$ already has a denominator of 4.

Now compare the numerators:

$$\frac{2}{4}\text{ vs. }\frac{3}{4}$$

Since 2 is less than 3, $\frac{2}{4}$ (or $\frac{1}{2}$) is less than $\frac{3}{4}$.

Method 2: Decimal Form

1. Convert $\frac{1}{2}$ to decimal form:
   $$\frac{1}{2}=0.5$$
2. Convert $\frac{3}{4}$ to decimal form:
   $$\frac{3}{4}=0.75$$

Since 0.5 is less than 0.75, $\frac{1}{2}$ is less than $\frac{3}{4}$.

Conclusion

$\frac{3}{4}$ is greater than $\frac{1}{2}$.