Estimate each sum and difference.
3 1/4 + 2 5/6
5 6/9 - 1 3/4
5 5/13 + 8 3/5
11 - 6 3/7 + 2 2/5
6
4
14
8
To estimate each sum and difference, we can round each fraction to the nearest whole number and then perform the calculations.
1. Estimate the sum of 3 1/4 + 2 5/6:
Rounding 1/4 to the nearest whole number gives us 0.
Rounding 5/6 to the nearest whole number gives us 1.
So, the estimate is 3 + 2 = 5.
2. Estimate the difference of 5 6/9 - 1 3/4:
Rounding 6/9 to the nearest whole number gives us 1.
Rounding 3/4 to the nearest whole number gives us 1.
So, the estimate is 5 - 1 = 4.
3. Estimate the sum of 5 5/13 + 8 3/5:
Rounding 5/13 to the nearest whole number gives us 0.
Rounding 3/5 to the nearest whole number gives us 1.
So, the estimate is 5 + 8 = 13.
4. Estimate the difference of 11 - 6 3/7 + 2 2/5:
Rounding 3/7 to the nearest whole number gives us 0.
Rounding 2/5 to the nearest whole number gives us 0.
So, the estimate is 11 - 6 + 2 = 7.
To estimate each sum and difference, we can use rounding.
1. 3 1/4 + 2 5/6:
- Round 3 1/4 to 3 and 2 5/6 to 3.
- Add the rounded numbers: 3 + 3 = 6.
- The estimated sum is 6.
2. 5 6/9 - 1 3/4:
- Round 5 6/9 to 6 and 1 3/4 to 2.
- Subtract the rounded numbers: 6 - 2 = 4.
- The estimated difference is 4.
3. 5 5/13 + 8 3/5:
- Round 5 5/13 to 5 and 8 3/5 to 9.
- Add the rounded numbers: 5 + 9 = 14.
- The estimated sum is 14.
4. 11 - 6 3/7 + 2 2/5:
- Round 6 3/7 to 6 and 2 2/5 to 2.
- Add the rounded numbers: 11 - 6 + 2 = 7.
- The estimated difference is 7.