Imagine you have 1/4 of a pie to slip with your friend. Explain how you would divide fractions to figure out how much of the pie each of you will have.
To divide fractions, we can use the formula: A/B ÷ C/D = A/B * D/C, where A/B and C/D are the fractions we want to divide.
In this case, we have 1/4 of a pie to split between you and your friend. Let's say you are represented by Fraction A and your friend is represented by Fraction B.
So, A = 1/4 (the amount we have)
B = ? (the amount each of you will have)
To find B, we can divide A by 2 (since there are two people sharing the pie).
B = A/2
B = (1/4) / 2
B = (1/4) * (1/2)
Multiplying the numerators and denominators:
B = (1 * 1) / (4 * 2)
B = 1/8
Therefore, each of you will have 1/8 of the pie when dividing 1/4 of a pie between two people.
To divide fractions and figure out how much of the pie each of you will have, follow these steps:
Step 1: Start by writing down the fraction that represents the portion of the pie you have. In this case, you have 1/4 of the pie.
Step 2: Write down the fraction that represents the number of people you want to divide the pie with. In this case, you want to share the pie with your friend, so there are 2 people (you and your friend).
Step 3: To divide fractions, you need to find the reciprocal of the second fraction (the one representing the number of people). The reciprocal of a fraction is found by swapping the numerator and denominator. So, the reciprocal of 2/1 is 1/2.
Step 4: Now, multiply the first fraction (1/4) by the reciprocal of the second fraction (1/2). Multiplying fractions involves multiplying the numerators together and the denominators together.
1/4 * 1/2 = (1 * 1) / (4 * 2) = 1/8
Step 5: Simplify the resulting fraction, if possible. In this case, the fraction 1/8 cannot be simplified further.
Step 6: The resulting fraction (1/8) represents the portion of the pie that each of you will have. This means that you and your friend will each have 1/8 of the pie.
So, dividing the 1/4 pie equally between you and your friend, each of you will have 1/8 of the pie.