Understanding Mixed Numbers and Improper Fractions: A Fun Guide

Converting mixed numbers to improper fractions can sometimes feel like a challenge, right? But here’s the kicker: with a bit of understanding, it becomes as easy as pie! Let’s unravel the mystery behind the mixed number 1 47/63 and uncover how it transforms into the improper fraction 110/63.

To kick things off, a mixed number comprises a whole number and a fraction—think of it like combining a full pizza with a few extra slices. In this case, 1 47/63 consists of the whole number 1 and the fraction 47/63. So, how do we make this conversion?

First, you want to multiply the whole number (1, in this instance) by the denominator of the fractional part (63 here). It’s a simple multiplication that brings clarity to our conversion journey. So, 1 times 63 equals 63. What's next, you ask? Well, this is where we add the numerator from the fraction (which is 47) to our product:

63 (from the multiplication) + 47 (from the fraction) equals 110.

Now, we've got the top part of our fraction sorted! The winning formula leads us towards structuring our improper fraction. You place that sum over the original denominator, which, in our case, is 63. Voilà! The improper fraction is thus formed: 110/63.

But hold on, let's pause for a moment. You may have encountered an answer option of 114/175 earlier—sounds familiar, doesn’t it? But here’s the catch: that’s not an accurate reflection of our conversion. It’s like trying to fit a round peg in a square hole; 110/63 is the only correct answer from the conversion of 1 47/63.

So, why does this matter? Understanding these conversions is crucial, particularly as you prepare for exams like the Accuplacer. They help solidify your foundational math skills and set you up for success in more advanced mathematical concepts. Plus, fractions pop up everywhere in life—seriously! From recipes to budgeting, they’re an essential part of our everyday toolkit.

Ready to tackle another example? With practice, making these conversions will feel like second nature. Perhaps you want to try converting 2 1/4 next! Just remember: take it step by step, and you’ll see improvement before you know it.

In conclusion, converting the mixed number 1 47/63 gets us 110/63—not only a neat little journey, but one that gears you up for academic success! So, the next time you see a mixed number, you’ll know exactly how to handle it—like a pro!