Converting Mixed Numbers Made Simple

What is the improper fraction equivalent of 3 3/5?

• A. 18/5
• B. 13/5
• C. 15/5
• D. 3/5

Answer: (A)

To find the improper fraction equivalent of the mixed number 3 3/5, you begin by converting the whole number and the fractional part into a single fraction. In this case, the whole number is 3, which can be expressed as a fraction by using the same denominator as the fractional part. The denominator in the fractional part (3/5) is 5. To express 3 as a fraction with a denominator of 5, you multiply 3 by 5, which gives you 15. So, 3 can be written as 15/5. Next, you add the fractional part (3/5) to this value. Now, you have: 15/5 (from the whole number) + 3/5 (the fractional part) = 18/5. Therefore, the improper fraction equivalent of 3 3/5 is 18/5. This demonstrates how to convert a mixed number into an improper fraction, ensuring that you maintain the proper value through the addition of the equivalent fractions.

When diving into the world of fractions, you might stumble across mixed numbers like (3 \frac{3}{5}) and wonder how to convert that into an improper fraction. Well, let me tell you, it's easier than you might think! Converting mixed numbers is a crucial skill for anyone, especially students brushing up for exams like the Nursing Entrance Exam, where math basics can pop up when you least expect it.

So, what do you do first? The key lies in breaking it down. Start by identifying the whole number and the fractional part—it’s like a team effort between friends working together to achieve one goal. Here, our whole number is 3, and the fractional part is (\frac{3}{5}).

Now, let’s put our brainstorming caps on! You want to express the whole number “3” as a fraction. To keep it consistent, we need to put the same denominator under 3 as we have in the fractional part—think of it like setting up a party where everyone needs to be on the same guest list. Our denominator is 5, so we multiply:

[ 3 = \frac{3 \times 5}{5} = \frac{15}{5}. ]

Now, we’ve successfully expressed our whole number as a fraction. Easy, right? Next, it’s all about the grand finale—adding the two fractions together! We take our newly created (\frac{15}{5}) and add (\frac{3}{5}):

[ \frac{15}{5} + \frac{3}{5} = \frac{15 + 3}{5} = \frac{18}{5}. ]

And voilà! We’ve transformed (3 \frac{3}{5}) into (\frac{18}{5}). Simple as pie, or should I say fractions?

But why does this matter, especially for nursing students? Well, fractions are part of various calculations that you'll encounter in nursing, from medication dosages to measuring IV fluids. Knowing how to handle fractions confidently can set you apart during exams and real-life applications. So, while it may seem like just another math trick, mastering this skill prepares you for countless scenarios in your future healthcare career.

Now you see how easy it is to tackle mixed numbers! Remember, each step is important and serves to build your overall understanding. Keep practicing these conversions, and who knows, you might just discover a newfound appreciation for fractions! They'll be your math pals on your journey toward nursing excellence.

So, the next time you see a mixed number, don't just pass it by—grab it and convert it! With a little practice, you'll be a fraction conversion expert in no time. Happy studying!