If we are to compare which among the given fractions is smaller, we first determine the decimal equivalent of each. If we are to solve for those, we determine that 3/4 is equal to 0.75 and 1/4 is equal to 0.25. This is done by dividing the numerator by the denominator. Comparing 0.75 and 0.25, we can conclude that 0.75 or 3/4 is greater compared to 0.25 or 1/4.
When comparing fractions, if the denominators are the same, the fraction with the larger numerator is greater. In the comparison between 1/4 and 3/4, the denominators are both 4, making them easy to compare directly. Since 3 is larger than 1, 3/4 is greater than 1/4. Let's visualize this using the example of a pie: if you divide a pie into 4 equal parts, 1/4 would be one part and 3/4 would be three parts. Clearly, having three parts gives you more pie than just one part.
The fraction 4 3 is greater than 4 1 because its decimal equivalent is 0.75, which is larger than 0.25. Therefore, ( \frac{3}{4} > \frac{1}{4} .
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