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1/7 divided by 4

1/7 divided by 4

less than a minute read 18-10-2024
1/7 divided by 4

Unraveling the Mystery: 1/7 Divided by 4

Dividing fractions can seem daunting, but it's really just a matter of understanding the concept and applying the right steps. Let's break down the problem of 1/7 divided by 4, exploring its meaning and how to solve it.

What Does Dividing by 4 Mean?

Essentially, we're asking: "How many times does 4 fit into 1/7?" Think of it like dividing a pizza: If you have 1/7 of a pizza and want to split it into four equal slices, how big would each slice be?

The Solution: Flipping and Multiplying

The key to dividing fractions is to "flip and multiply." This is based on the concept of reciprocals. The reciprocal of a number is simply 1 divided by that number. So, the reciprocal of 4 is 1/4.

Here's how to solve 1/7 divided by 4:

  1. Find the reciprocal of the divisor: The divisor is 4, so its reciprocal is 1/4.

  2. Multiply the first fraction by the reciprocal of the divisor: (1/7) * (1/4)

  3. Multiply the numerators (top numbers) and the denominators (bottom numbers): (1 * 1) / (7 * 4) = 1/28

Therefore, 1/7 divided by 4 is equal to 1/28.

Practical Application: Sharing a Snack

Imagine you have a bag of chips that's 1/7 full. You want to share the chips evenly among four friends. Using our calculation, you would each get 1/28 of the full bag of chips!

Key Takeaways:

  • Dividing by a number is the same as multiplying by its reciprocal.
  • "Flipping and multiplying" makes fraction division easier to understand and solve.
  • Practice applying the concept to real-life scenarios to solidify your understanding.

Remember, the power of fractions lies in their ability to represent parts of a whole, allowing us to solve practical problems in our everyday lives.

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