Draw a model to represent the problem 6/12 divided by 1/4

Draw a model to represent the problem 6/12 divided by 1/4

The Correct Answer and Explanation is:

Let’s break down the division problem: 612÷14\frac{6}{12} \div \frac{1}{4}126​÷41​.

Step 1: Understand the Problem

The problem asks us to divide a fraction by another fraction. The general rule for dividing fractions is: Divide=Multiply by the reciprocal.\text{Divide} = \text{Multiply by the reciprocal}.Divide=Multiply by the reciprocal.

In other words, we turn the second fraction (the divisor) upside down (find its reciprocal) and then multiply.

Step 2: Find the Reciprocal of 14\frac{1}{4}41​

The reciprocal of 14\frac{1}{4}41​ is 41\frac{4}{1}14​.

Step 3: Set Up the Multiplication

Now we will multiply 612\frac{6}{12}126​ by 41\frac{4}{1}14​: 612×41\frac{6}{12} \times \frac{4}{1}126​×14​

Step 4: Multiply the Fractions

To multiply fractions, you multiply the numerators (the top numbers) and the denominators (the bottom numbers). 6×412×1=2412\frac{6 \times 4}{12 \times 1} = \frac{24}{12}12×16×4​=1224​

Step 5: Simplify the Fraction

Now, simplify 2412\frac{24}{12}1224​: 2412=2\frac{24}{12} = 21224​=2

Final Answer

So, 612÷14=2\frac{6}{12} \div \frac{1}{4} = 2126​÷41​=2.

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Explanation

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. In this case, we turned 14\frac{1}{4}41​ into 41\frac{4}{1}14​ and multiplied it by 612\frac{6}{12}126​.

After multiplying, we got 2412\frac{24}{12}1224​, which simplifies to 222. This method of multiplying by the reciprocal is key when dividing fractions, and it’s a rule that works for all fraction division problems.