Hey, guys! Today I’m gonna share with you my journey of figuring out what exactly is 1/4 of 2/3. It all started when I was sitting at my desk, looking at a math problem that involved this fraction calculation. I scratched my head for a bit, like “What the heck is this?” But I was determined to solve it.
Step 1: Understanding the Problem
I first needed to get what “1/4 of 2/3” really meant. I remembered from school that “of” usually means multiplication in math. So, I knew I had to multiply 1/4 by 2/3. But I was a bit rusty on fraction multiplication, so I decided to break it down further.
Step 2: Breaking It Down
I took a piece of paper and drew a rectangle. I divided it into 3 equal parts horizontally to represent 2/3. Then I shaded 2 of those parts. Next, I wanted to find 1/4 of this shaded area. So, I divided the whole rectangle into 4 equal parts vertically. Now, I could see that the overlapping part of the horizontal and vertical divisions was what I was looking for.
Step 3: Doing the Math
To actually calculate it, I knew the rule for multiplying fractions: multiply the numerators together and the denominators together. So, for 1/4 times 2/3, I multiplied 1 (the numerator of 1/4) by 2 (the numerator of 2/3), which gave me 2. Then I multiplied 4 (the denominator of 1/4) by 3 (the denominator of 2/3), which gave me 12. So the result was 2/12.
Step 4: Simplifying the Answer
But 2/12 looked a bit messy. I remembered that I could simplify it. I found the greatest common divisor of 2 and 12, which was 2. I divided both the numerator and the denominator by 2. So, 2 divided by 2 is 1, and 12 divided by 2 is 6. So the final answer was 1/6.
And there you have it! After all that work, I finally figured out that 1/4 of 2/3 is 1/6. It was a bit of a brain – teaser at first, but by breaking it down step by step, I was able to solve it. This little math adventure reminded me that even when things seem tough, if you take it one step at a time, you can get to the answer.