To solve the expression "10 divided by 1/5," we can follow these simple steps:
Step 1: Understand the Problem We need to divide 10 by a fraction, which is 1/5.
Step 2: Convert the Division to Multiplication When dividing by a fraction, we can convert it to a multiplication problem by flipping the fraction. So, dividing by 1/5 becomes multiplying by 5/1.
Step 3: Multiply 10 by 5 Now we multiply 10 by 5, which gives us:
10 × 5 = 50
Answer Therefore, 10 divided by 1/5 is equal to 50.
Why Does This Work?
When we divide by a fraction, we can think of it as asking how many groups of that fraction we can fit into the whole. In this case, we're asking how many groups of 1/5 are in 10.
By flipping the fraction and multiplying, we're essentially finding how many times 5 fits into 10. Since 5 × 2 = 10, we know that 5 fits into 10 twice, but we're multiplying by 5/1, so we get 50.
This method works because dividing by a fraction is equivalent to multiplying by its reciprocal (the flipped fraction).
Example with a Picture
Imagine you have 10 cookies, and you want to package them in bags of 1/5 of a cookie each. How many bags can you make?
Since 1/5 of a cookie is the same as 1 cookie divided by 5, we can multiply 10 cookies by 5 to find the number of bags:
10 cookies × 5 = 50 bags
So, you can make 50 bags of 1/5 of a cookie each.
I hope this explanation helps! Do you have any questions or need further clarification?