1/4 divided by 2 in fraction form
The Correct answer and Explanation is:
To divide the fraction 14\frac{1}{4}41 by the whole number 222, we can follow these steps:
- Understand the Division of Fractions: Dividing by a whole number can be transformed into multiplying by the reciprocal of that number. The reciprocal of 222 is 12\frac{1}{2}21.
- Set Up the Problem: The problem can be rewritten as:14÷2=14×12\frac{1}{4} \div 2 = \frac{1}{4} \times \frac{1}{2}41÷2=41×21
- Multiply the Fractions: When multiplying fractions, you multiply the numerators together and the denominators together:1×14×2=18\frac{1 \times 1}{4 \times 2} = \frac{1}{8}4×21×1=81
Thus, 14÷2=18\frac{1}{4} \div 2 = \frac{1}{8}41÷2=81.
Explanation of the Process
Dividing fractions can sometimes be a confusing concept, especially when dealing with whole numbers. To effectively divide a fraction by a whole number, the method of using the reciprocal becomes a useful tool.
When we divide a fraction, we can think of it as determining how many times the whole number fits into the fraction. In this case, we are trying to see how many halves (because dividing by 2 means splitting into two equal parts) fit into one-fourth.
By changing the division of 14\frac{1}{4}41 by 222 into multiplication by the reciprocal 12\frac{1}{2}21, we make the operation simpler. This method works because of the properties of fractions: when you multiply a fraction by another fraction, you are essentially scaling down the original fraction according to the value of the whole number.
This approach not only helps maintain clarity in calculations but also ensures that we adhere to the rules of fractions and arithmetic. The final result, 18\frac{1}{8}81, indicates that when you take one-fourth and divide it into two equal parts, each part measures one-eighth.
Using this method consistently will enable you to tackle various problems involving fractions and whole numbers with confidence.