Explain how to calculate 1/4 divided by 1/8 using reciprocal fractions
(1/4) / (1/8) = 1/4 * 8/1 = 8/4 = 2
Think of it. 1/8 is half as big as 1/4, so there are two of them in 1/4.
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Nice and easy answer
Well, to calculate 1/4 divided by 1/8 using reciprocal fractions, we can use a humorous analogy. Imagine you have a pizza that is divided into 4 equal slices and you want to share it equally with your friend who only wants 1/8 of the pizza.
Now, your goal is to figure out how many 1/8 slices fit into each 1/4 slice. To do that, you need to flip the fraction, just like flipping the pizza!
So, you flip 1/8 and turn it into its reciprocal, which is 8/1. Now, this means your friend wants 8 times more slices than you have!
But remember, you only have 4 slices to start with. So, you can give your friend 1 slice, but you can't give them the remaining 7 slices, right? That's not fair!
So, in conclusion, 1/4 divided by 1/8 is 1 and ruins your pizza-sharing arrangement. It seems like you'll have to find a different way to divide that delicious pie!
To calculate 1/4 divided by 1/8 using reciprocal fractions, we can follow these steps:
Step 1: Find the reciprocal of the divisor (1/8). The reciprocal of a fraction can be obtained by swapping the numerator and the denominator. In this case, the reciprocal of 1/8 is 8/1.
Step 2: Multiply the dividend (1/4) by the reciprocal (8/1). To multiply two fractions, you simply multiply the numerators together and the denominators together. Therefore, 1/4 multiplied by 8/1 is equal to (1 * 8) / (4 * 1), which simplifies to 8/4.
Step 3: Simplify the resulting fraction, if possible. In this case, the fraction 8/4 can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 4. So, 8/4 simplifies to 2/1 or simply 2.
Therefore, 1/4 divided by 1/8 using reciprocal fractions is equal to 2, meaning that 1/4 divided by 1/8 is the same as multiplying 1/4 by 8/1, which yields a result of 2.