Solution:
We need to compare the value of both the fractions to get the answer.
3/8 is expressed as 0.375 as a decimal and 1/4 is expressed as 0.25 in its decimal form.
It is clear that the value of 3/8 is more than 1/4. Hence, it is bigger.
We can also check this by converting the given fractions to a common denominator.
The Least Common Multiple (LCM) of 4 and 8 is 8.
Therefore 1/4 can be expressed as 2/8.
When the denominatoris the same, the fraction with a bigger numerator has a greater value.
Thus, on comparing 3/8 and 2/8, we can say 3/8 has a greater value. Hence, 3/8 is bigger than 1/4
Summary:
3/8 is bigger than 1/4
I am an expert in mathematics, particularly in the realm of fractions and decimal representations. My depth of knowledge in this field is demonstrated by a comprehensive understanding of the concepts involved and the ability to analyze mathematical relationships with precision. Now, let's delve into the details of the provided article.
The article discusses the comparison of two fractions, 3/8 and 1/4, to determine which is larger. The author employs multiple methods to illustrate this comparison, showcasing a solid grasp of fundamental mathematical principles.
Firstly, the author converts both fractions into their decimal representations. They correctly note that 3/8 can be expressed as 0.375 in decimal form, while 1/4 is equivalent to 0.25. This demonstrates an understanding of how to convert fractions to decimals, a foundational skill in mathematics.
Next, the article introduces the concept of a common denominator. By identifying the Least Common Multiple (LCM) of 4 and 8 as 8, the author illustrates proficiency in working with common denominators. They correctly express 1/4 as 2/8, aligning with the principle that equivalent fractions can be obtained by multiplying both the numerator and denominator by the same non-zero value.
The article then applies the rule that when the denominator is the same, the fraction with a larger numerator is greater. By comparing 3/8 and 2/8, the author concludes that 3/8 is larger than 1/4. This reasoning reflects a solid understanding of fraction comparison.
In summary, the article effectively communicates that 3/8 is greater than 1/4 through the use of decimal representations, common denominators, and the comparison of numerators. This demonstrates the author's proficiency in mathematical concepts related to fractions and decimals.
