Round the fraction to the nearest 1/2.
1. 1/9.
1. 0
2.1/2
3. 1
2. 14/27
1. 0
2. 1/2
3. 1
Estimate the sum or difference
3. 4/5+ 18/20
1. 1
2. 1 1/2
3. 2
4. 16/ 17 + 3/17
1. 19
2. 18
3.17
To round a fraction to the nearest 1/2, you need to compare the fraction to the two options: 0 and 1. For each given fraction, follow these steps:
1. Compare the fraction to 0. If the fraction is less than 1/4, round it down to 0.
2. Compare the fraction to 1/2. If the fraction is between 1/4 and 3/4, round it up to 1/2.
3. Compare the fraction to 1. If the fraction is greater than or equal to 3/4, round it up to 1.
Now, let's apply these steps to the given fractions:
1. 1/9:
- Compare 1/9 to 0: 1/9 is greater than 0.
- Compare 1/9 to 1/2: 1/9 is less than 1/2.
- Compare 1/9 to 1: 1/9 is less than 1.
Therefore, round 1/9 to 0.
2. 14/27:
- Compare 14/27 to 0: 14/27 is greater than 0.
- Compare 14/27 to 1/2: 14/27 is greater than 1/2.
- Compare 14/27 to 1: 14/27 is less than 1.
Therefore, round 14/27 to 1.
Estimate the sum or difference:
3. 4/5 + 18/20:
- Convert 18/20 to an equivalent fraction with a denominator of 5: 18/20 = 18/20 * 1/1 = 90/100 = 9/10.
- Add 4/5 and 9/10: 4/5 + 9/10 = (4*2)/(5*2) + 9/10 = 8/10 + 9/10 = 17/10 = 1 7/10.
Therefore, estimate the sum 4/5 + 18/20 to 1 1/2.
4. 16/17 + 3/17:
- Add 16/17 and 3/17: 16/17 + 3/17 = (16+3)/17 = 19/17.
Therefore, estimate the sum 16/17 + 3/17 to 19/17 or simply 19.
I hope this explanation has helped you understand how to round fractions and estimate sums or differences. Let me know if you have any further questions!