explain how you know tt 3/6 i greater than 1/3 but less than 2/3
because the numbers are smaller
so that makes it bigger
Express them all with the common denominator of 6, and compare:
1/3= 2/6
3/6= 3/6
2/3= 4/6
This way, we only need to compare the numerator if the denominators are the same.
To understand why 3/6 is greater than 1/3 but less than 2/3, we can compare the fractions by finding a common denominator and then comparing the numerator.
Step-by-step evaluation:
1. Common Denominator: To compare fractions, first, we bring them to a common denominator. In this case, the least common denominator (LCD) for 6, 3, and 2 is 6.
2. Equivalent Fractions: Convert the fractions to have the common denominator of 6.
- 3/6 remains the same because the denominator is already 6.
- 1/3 needs to be converted to 2/6. We multiply the numerator and denominator by 2 to get an equivalent fraction with a denominator of 6.
- 2/3 needs to be converted to 4/6. We multiply the numerator and denominator by 2 to get an equivalent fraction with a denominator of 6.
After converting, we have:
- 3/6 (already in terms of 6)
- 1/3 = 2/6
- 2/3 = 4/6
3. Numerator Comparison: Since the denominators are now equal, we can compare the numerators to determine which fraction is greater.
- 3/6: numerator = 3
- 2/6: numerator = 2
- 4/6: numerator = 4
Comparing the numerators, we can see that 4/6 is the largest, followed by 3/6, and finally 2/6. Therefore, we conclude that 3/6 is greater than 1/3 but less than 2/3.