Understanding 1/4 Divided by 2
Dividing fractions can seem tricky, but it's actually quite straightforward once you understand the concept. Let's break down how to solve "1/4 divided by 2".
The Key: Reciprocals
The key to dividing fractions is using reciprocals. A reciprocal is simply the inverse of a number. To find the reciprocal, you flip the numerator and denominator. For example:
- The reciprocal of 2 is 1/2.
- The reciprocal of 3/4 is 4/3.
Turning Division into Multiplication
When you divide by a fraction, you essentially multiply by its reciprocal. This is the same as flipping the second fraction and multiplying.
Applying the Concept to 1/4 Divided by 2
- Rewrite 2 as a fraction: 2 can be written as 2/1.
- Find the reciprocal of the second fraction: The reciprocal of 2/1 is 1/2.
- Multiply the first fraction by the reciprocal of the second fraction: (1/4) * (1/2) = 1/8.
Therefore, 1/4 divided by 2 is equal to 1/8.
Let's try another example:
What is 3/5 divided by 4?
- Rewrite 4 as a fraction: 4/1
- Find the reciprocal: 1/4
- Multiply: (3/5) * (1/4) = 3/20
Conclusion
Understanding reciprocals is essential for dividing fractions. By flipping the second fraction and multiplying, we can easily solve division problems involving fractions. Remember, the key is to turn division into multiplication by using the reciprocal of the divisor.