Mastering Fractions: Simplifying (2/7) / (5/6) for the TEAS Test

Simplify the following expression: (2/7) / (5/6).

• A. A. 2/5
• B. B. 35/15
• C. C. 5/21
• D. D. 12/35

Answer: (D)

To simplify the expression (2/7) / (5/6), you can follow the process of dividing fractions, which involves multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of (5/6) is (6/5). Therefore, the expression becomes: (2/7) * (6/5). Now, you can multiply the numerators together and the denominators together: Numerator: 2 * 6 = 12 Denominator: 7 * 5 = 35 This results in the fraction 12/35. Thus, the simplified form of (2/7) / (5/6) is 12/35, which is the correct answer. By following the multiplication of fractions and simplifying, you arrive directly at the final answer, demonstrating a clear approach to working with fractional division.

Are you gearing up for the Test of Essential Academic Skills (TEAS) and feeling a bit concerned about the math section? Well, you’re not alone! Many students find fractions to be a tricky spot. But don't sweat it; simplifying fractions is totally manageable once you get the hang of it.

Let’s take a deeper look at a specific problem: simplifying the expression (2/7) / (5/6). This might sound daunting at first, but here's the thing—you really just need to follow a simple process. So, how do we tackle this?

Breaking Down the Problem

When you divide one fraction by another, you don't divide directly like you would with whole numbers. Instead, you multiply the first fraction by the reciprocal of the second fraction. What’s that? The reciprocal just means flipping the second fraction upside down. For our expression, the reciprocal of (5/6) is (6/5). Cool, right?

So, now we can transform (2/7) / (5/6) into (2/7) * (6/5).

Let’s Do Some Math

Now comes the fun part: multiplying the fractions! You know what’s great? It’s straightforward. You multiply the numerators together and the denominators together. Let’s break it down step by step:

• Numerator: 2 multiplied by 6 equals 12.

• Denominator: 7 multiplied by 5 equals 35.

Putting that together gives us the fraction 12/35.

Why Does This Matter?

So, the simplified form of (2/7) / (5/6) is indeed 12/35. But more than just knowing the answer, this process reaffirms your ability to work with fractions. Becoming comfortable with these operations is key—not only for the TEAS but for any career in healthcare where precision in calculations is crucial.

This skill of fraction manipulation doesn’t just stop at the TEAS test—think about it! You'll encounter fractions in medication dosages and nutritional calculations as a future nurse or healthcare professional. Each time you simplify a fraction, it’s like a mini confidence boost.

Wrapping Up

In conclusion, simplifying fractions like (2/7) / (5/6) teaches you a systematic approach that can make all the difference in your academic success, particularly in math-heavy subjects. So next time you're faced with a similar problem, just remember: multiply by the reciprocal, simplify, and you’ve got it.

Good luck with your TEAS preparation, and keep practicing! You’ve got this!