Estimate if you can decide whether each sum is greater than one or less than one. If you cannot tell, explain why.
Without knowing the specific numbers in each sum, it is impossible to accurately determine whether each sum is greater than one or less than one. The sum of two numbers can vary widely depending on the values of those numbers, so it is important to have more information in order to make a correct judgement.
2/3+5/6
To estimate the sum 2/3 + 5/6, we can see that both fractions have denominators that are relatively close in value. Since 3 is less than 6, the fraction 2/3 is smaller than 1/2 (which is equivalent to 3/6). Similarly, with 5/6, it is larger than 1/2. Therefore, we can estimate that 2/3+5/6 is likely greater than 1.
To find the exact sum, we need to find a common denominator. The least common multiple of 3 and 6 is 6.
Therefore, we convert 2/3 to an equivalent fraction with denominator 6 by multiplying the numerator and denominator by 2:
2/3 = (2*2)/(3*2) = 4/6
Now, we add the fractions:
4/6 + 5/6 = 9/6 = 1.5
So the exact sum of 2/3 + 5/6 is 1.5, which is greater than 1.