Final answer:
To estimate the sum of 3/8 and 1 4/5, we use benchmark fractions and numbers close to them, such as 1/2 and 2. The estimated sum using these benchmarks is between 2.4 and 2.5.
Step-by-step explanation:
To estimate the sum of 3/8 and 1 4/5, we can use benchmarks. The fraction 3/8 is close to the benchmark fraction 1/2 (or 0.5), and the mixed number 1 4/5 is close to the benchmark number 2. Hence, we can estimate the sum by adding the benchmarks together: 0.5 (for 3/8) + 2 (for 1 4/5). If we add these benchmark numbers, we get an estimated sum of 2.5.
Another way to estimate is by thinking about 3/8 in terms of 1/4, which is 0.25. Since 3/8 is slightly more than 1/4, we might round up to 0.4 for the purpose of easy estimation. Therefore, we add 0.4 (for 3/8) to 2 (for 1 4/5), and we get an estimated sum of approximately 2.4.
Both methods provide an easy way to estimate the sum, and we can state that the estimated sum of 3/8 and 1 4/5 is roughly between 2.4 and 2.5.