Hey there, students! Get ready to put on your detective hats because we've got a fraction mystery to solve!
The Case:
We need to find TWO secret fractions. Here's the catch:
🤔 Hmm... this sounds tricky! Let's put our detective skills to the test!
Cracking the Code:
First, let's think about 13. It's a prime number, which means it can only be divided by 1 and itself. That makes things a bit tougher!
Next, 6 x 13 is pretty close to 6 x 12, right? And 6 x 12 is half of 12 x 12. So, 6/13 is a little bit less than half.
💡 Aha! Maybe our secret fractions are near numbers that give us half, like 6/12 or 8/16.
Let's Experiment!
Keep trying different combinations, and see how close you can get to 6/13!
Need a hint? Try these:
The Big Reveal!
(Don't peek until you've tried!)
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Best possible solution we have found is 2/7 x 8/5 which is 16/35.
But guess what? There might be other answers out there! Can you find them?
Remember: Being a fraction detective is all about trying things out, using your math skills, and having fun!
Let us know in the comments if you cracked the case and found other secret fractions!
Behind the Scenes of the Fraction Mystery!
This challenge might seem simple at first, but it's designed to get you thinking deeply about fractions! We started with a tricky fraction (6/13) and then came up with some clues to guide you.
Why this problem is awesome:
This is what makes it a rich problem - it's packed with learning and fun!