Use benchmarks to estimate each sum or difference
4/5 + 8/9
about 1 1/2
about 1 3/4
about 1 8/9
about 2
4/5 is almost 1
8/9 is even more almost 1, so
4/5 + 8/9 is almost 2
To estimate the sum of 4/5 + 8/9 using benchmarks, we can round each fraction to the nearest benchmark value and then find the sum.
The benchmark fractions we can use are 0, 1/2, 1, and 2.
For 4/5:
The nearest benchmark value is 1 (since 4/5 is closer to 1 than 0 or 1/2). Therefore, we can estimate 4/5 as about 1.
For 8/9:
The nearest benchmark value is 1 (since 8/9 is closer to 1 than 1/2). Therefore, we can estimate 8/9 as about 1.
Now, we can find the estimate for their sum:
1 + 1 = 2
So, using benchmarks, the estimate for 4/5 + 8/9 is about 2.
To estimate the sum 4/5 + 8/9 using benchmarks, we can round both fractions to the nearest whole number.
- The benchmark for 4/5 is 1 since it is slightly larger than 4/5.
- The benchmark for 8/9 is 1 since it is slightly larger than 8/9.
Rounded to the nearest whole number, 4/5 is approximately 1, and 8/9 is approximately 1.
Now, summing the benchmarks, 1 + 1 equals 2.
Therefore, an estimate for 4/5 + 8/9 is about 2.