So, what are all the proper fractions with a denominator of 10 that is less than 1/2?
thank you!!
1/10, 2/10, 3/10, 4/10
But 2/10 and 4/10 can also be 1/5 and 2/5.
To find all the proper fractions with a denominator of 10 that are less than 1/2, we need to list all the fractions with a numerator less than 1/2 and a denominator of 10.
The fractions we're looking for will have a numerator less than 5 since 1/2 is equal to 5/10.
Let's list them step-by-step:
1. The fraction with a numerator of 1: 1/10
2. The fraction with a numerator of 2: 2/10
3. The fraction with a numerator of 3: 3/10
4. The fraction with a numerator of 4: 4/10
However, 4/10 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. This simplifies to 2/5.
Therefore, the proper fractions with a denominator of 10 that are less than 1/2 are:
1/10
2/10 (simplified to 1/5)
3/10
2/5
I hope this helps! Let me know if you have any further questions.
To find the proper fractions with a denominator of 10 that are less than 1/2, we can follow these steps:
Step 1: Determine the maximum numerator value.
Since the denominator is 10, the maximum numerator value would be 9 (as fractions with numerator greater than 9 would be equal to or exceed 1).
Step 2: List all the possible fractions.
Starting from the numerator 1 and going up to the maximum numerator value of 9, we can list the proper fractions. In this case, the possible fractions are:
1/10, 2/10 (which simplifies to 1/5), 3/10, 4/10 (which simplifies to 2/5), 5/10 (which simplifies to 1/2), 6/10 (which simplifies to 3/5), 7/10, 8/10 (which simplifies to 4/5), 9/10.
Step 3: Identify the fractions that are less than 1/2.
Among the fractions listed, the fractions that are less than 1/2 are:
1/10, 2/10 (which simplifies to 1/5), 3/10, 4/10 (which simplifies to 2/5), and 7/10.
So, the proper fractions with a denominator of 10 that are less than 1/2 are:
1/10, 1/5, 3/10, 2/5, and 7/10.