Help!!I need to understand how to estimate the sum or difference for fractions..2 and 2 thirds plus 3 fourths,1 and 7 eighths minus 1 and a half,and 3 and 9 tenths minus 1 and 2 fifths,please help,not good with math
ell 2/3 is a bit less than 3/4 but pretty close
3/4 + 3/4 = 1.5
so a bit less than 3 1/2
the real answer is very close to that:
2 2/3 + 3/4 ? = 2 8/12 + 9/12 = 2 17/12 = 3 5/12 (estimate wrong by 1/12)
1 7/8 - 1 1/2
well that is just the difference between 7/8 and 4/8 which is 3/8, no need to estimate
2 9/10 - 1 2/5
again why estimate. That is
2 9/10 - 1 4/10
which is
1 5/10
which is 1 1/2
Sure, I can help you understand how to estimate the sum or difference for fractions. Let's break down each problem step by step:
1. 2 and 2 thirds plus 3 fourths:
To estimate the sum, you can round each fraction to the nearest whole number. In this case, 2 thirds is slightly more than 0.5, and 3 fourths is slightly less than 1. So we can round 2 and 2 thirds to 2, and 3 fourths to 1. Now, we can simply add them: 2 + 1 = 3. Therefore, the estimated sum is 3.
2. 1 and 7 eighths minus 1 and a half:
To estimate the difference, you can again round each fraction to the nearest whole number. We know that 1 and 7 eighths is slightly more than 1, and 1 and a half is also slightly more than 1. So we can round both of them to 1. Now, we subtract: 1 - 1 = 0. Therefore, the estimated difference is 0.
3. 3 and 9 tenths minus 1 and 2 fifths:
Again, we'll round each fraction to the nearest whole number. 3 and 9 tenths is slightly more than 3, and 1 and 2 fifths is slightly more than 1. So we can round 3 and 9 tenths to 3, and 1 and 2 fifths to 1. Now, we subtract: 3 - 1 = 2. Therefore, the estimated difference is 2.
By rounding each fraction to the nearest whole number, we can quickly estimate the sum or difference without having to deal with complicated fraction calculations. However, keep in mind that these are just estimations, and for accurate results, it's important to perform the actual calculations using the given fractions.