Question

If you are adding two fractions that are both greater than 1/2, what must be true about the sum? Give three examples to support your thinking

Answer 1

Answer:

The sum must be greater than 1

Step-by-step explanation:

Two fractions that are greater than 1/2 let's say

Example 1

3/4 and 7/8, the sum will be

3/4+7/8 with LCM of denominator as 8 sum=$\frac {(3*2)+7}{8}=\frac {13}{8}=1\frac {5}{8}$ which is more than 1

Example 2

6/9 and 5/8 with the LCM of denominator as 72, the sum=$\frac {(6*8)+(5*9)}{72}=\frac {93}{72}=1\frac {7}{24}$ which is greater than 1

Example 3

8/9 and 7/9 with the LCM of denominator as 9, the sum=$\frac {8+7}{9}=\frac {15}{9}=1\frac {2}{3}$ which is greater than 1