Understanding Decimal to Fraction Conversions for the Oilers/Plant Tenders Exam

When gearing up for the Oilers/Plant Tenders (HHC) Civil Service Exam, mastering the conversion from decimals to fractions can seem like a hurdle. But fear not! It’s easier than you think. Just imagine you’re cooking a new recipe; sometimes it’s about understanding the right measurements and ratios. Understanding this conversion isn't just a math skill; it could be a game-changer for your test performance.

Let’s tackle a specific example: Is the decimal 0.875 equal to the fraction 15/16? You might just scratch your head and settle on a 'maybe.' But let's break it down together—because demystifying decimals is like piecing together a puzzle!

To determine whether 0.875 is equal to 15/16, we start by converting that decimal into a fraction. Here’s how you do it: Write 0.875 as 875/1000. Now, simplifying fractions is like decluttering your closet—it makes everything so much clearer! To simplify 875/1000, we need to find the greatest common divisor (GCD) of both numbers, which happens to be 125.

So, splashing through the numbers:

• 875 ÷ 125 = 7
• 1000 ÷ 125 = 8

Voilà! We have simplified 0.875 down to 7/8. Now, how does this compare to 15/16? You know what? This is where it gets interesting!

Here’s the thing: we need a common denominator to compare fractions effectively. Since 8 and 16 share a lovely relationship (they're multiples, after all), we can transform 7/8. To match the denominator of 15/16, we can adjust:

• 7/8 = 14/16 (yup, we multiply both the top and the bottom by 2).

With our new fraction in hand, it’s time for the big reveal: 14/16 isn’t even close to 15/16! So, what’s the verdict? The answer to our original question is, you guessed it—False. 0.875 does not equal 15/16, since it simplifies to 7/8.

This is a prime example of how a solid understanding of decimals and fractions can help you breeze through portions of the exam. And this skill doesn't just enhance your test performance; it helps in real-world applications too. Whether you're measuring materials, calculating costs, or prepping work orders, these conversions are essential.

There you have it! Straightforward, right? The clarity of knowledge can cut through any confusion. Remember, don't shy away from fractions; they’re part of the math magic you'll need. The next time you see a decimal, you’ll tackle it like a pro—bring it on! By embracing these small victories in your studies, you’re laying the groundwork for larger successes on the exam day. Keep practicing, and you’ll be golden!