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Math can sometimes feel like a puzzle, right? But breaking down tricky problems into smaller, manageable steps can make it much less daunting. Today, we’re tackling a seemingly complex question: What happens when we divide 1 1/3 by 2? Lets unravel this together!
Don’t worry; we’ll keep it light and easy to understand. Whether you’re helping with homework or just brushing up on your math skills, this breakdown will give you a clear, step-by-step guide to solving this kind of problem. Get ready to conquer this fraction division!
Understanding 1 1/3 Divided by 2
First, we need to convert the mixed number 1 1/3 into an improper fraction. This simply means we turn it into a fraction where the numerator (top number) is larger than the denominator (bottom number). To do this, multiply the whole number (1) by the denominator (3), which gives us 3. Then, add the numerator (1) to get 4. Keep the same denominator, so 1 1/3 becomes 4/3.
Now that we have our improper fraction, 4/3, we can tackle the division. Dividing by 2 is the same as multiplying by its reciprocal, which is 1/2. So, our problem now becomes 4/3 multiplied by 1/2. This makes the calculation much easier and more straightforward to approach.
To multiply fractions, simply multiply the numerators together and the denominators together. So, 4/3 multiplied by 1/2 becomes (4 1) / (3 2), which simplifies to 4/6. We are almost done with solving the equation from the beginning of 1 1/3 divided by 2!
Our result, 4/6, can be simplified even further. Both the numerator and denominator are divisible by 2. Dividing both by 2 gives us 2/3. And that’s our final answer! So, 1 1/3 divided by 2 equals 2/3. Wasn’t that easier than you thought?
Understanding these steps can help with many similar math problems and can come in handy in daily situations like splitting recipes or dividing resources equally. Keep practicing, and you will become more confident with fraction division. With practice, math problems like these will become easier!