Understanding Fractions: What Represents 1/4?

Which of the following fraction represents 1/4?

• A. 6/19
• B. 3/5
• C. 4/15
• D. 1/4

Answer: (D)

The fraction that accurately represents 1/4 is indeed one that has equivalent values when simplified or compared with the value of 1/4. To determine this, consider the process of equalizing fractions. For a fraction to be equivalent to 1/4, the ratio of its numerator to its denominator must simplify or equal the decimal form of 1/4, which is 0.25. Each of the other fractions can be evaluated to see their decimal forms. For instance: - The fraction 6/19 evaluates to approximately 0.316, which is greater than 0.25. - The fraction 3/5 simplifies to 0.6, which also exceeds 0.25. - The fraction 4/15 evaluates to about 0.267, still greater than 0.25. When considering 7/2, or 7 divided by 2, we find this evaluates to 3.5, which is significantly higher than 0.25. To find a fraction that equals 1/4, you can also cross-multiply to check for equality. 1 times the denominator of another fraction should equal to 4 times its numerator. Because the question asks for a fraction that

When it comes to fractions, understanding what each number truly represents can feel like a maze. You’re preparing for the College Math CLEP Exam, and knowing your fractions, especially something basic like 1/4, is crucial. But wait, who knew choosing a fraction could be so complicated? Let's break it down.

So, let's dive into your multiple-choice question: Which of the following fractions represents 1/4?

• A. 6/19

• B. 3/5

• C. 4/15

• D. 7/2

Now, if we think about it, the fraction 1/4 can also be expressed as 0.25 in decimal form. This makes it easier to compare against other fractions. Sounds straightforward, right? Let’s see how each option stacks up.

First, take a look at option A: 6/19. When you convert that into decimal form, it’s about 0.316. Much bigger than 0.25—like comparing a large pizza versus a slice. Not what we’re looking for!

Next, we find option B, 3/5. When converted, it becomes 0.6. This one’s again way too big to represent 1/4. It’s almost like asking if 6 slices out of 10 is a quarter of a pizza. Definitely not!

Moving on to option C: 4/15. This one equals roughly 0.267, still bigger than 0.25. It’s like saying you only have four out of fifteen slices left from your whole pizza—but still too much to equal just a quarter.

Finally, let’s check out option D: 7/2. This fraction is 3.5—way beyond what we want for 1/4. It’s as if you bought 7 pizzas for a group of 2 and wondered why you have leftovers!

In short, every option seems to fail the test, right? So where's the confusion? Here’s the catch: to represent 1/4 accurately in the given options, 0.25 is necessary, and none of these fit the bill! The original question seems a bit mixed up because none represent 1/4—oops!

Getting comfortable with fractions is key in college math. You might be scratching your head now, but as you move forward, fluency in recognizing decimal equivalents can be a life-saver during your exam! And hey, this isn’t just about passing an exam; it’s a math skill that helps in everyday life—like budgeting, cooking, or even planning a road trip!

So, if you find yourself puzzled by fractions in the future (and let’s be honest, they can be tricky), remember to convert them to decimal form for clarity. This method not only helps with understanding but gives you confidence when tackling similar problems on the CLEP exam.

You’ve got this! Practice makes perfect, and with examples like this, you’re already one step closer to mastering fractions—just remember to keep your eye on the decimal ball!