Question

3 1/6+2 2/3; 8 5/7+2 1/14;1 5/16+8 1/2;6 7/10+9 5/20​

Answer 1

1) 5 5/6
2) 10 11/14
3)9 13/16
4)15 19/20

Answer 2

To add mixed numbers, you can follow these steps:

1. Add the whole numbers together.
2. Add the fractions together.
3. Simplify if necessary.

Let's calculate each of the expressions:

1. 3 1/6 + 2 2/3:

   • Add the whole numbers: 3 + 2 = 5.
   • Add the fractions: 1/6 + 2/3. To add fractions with different denominators, find a common denominator, which is 6 in this case.
   • Convert 2/3 to have a denominator of 6: (2/3) * (2/2) = 4/6.
   • Now, add the fractions: 1/6 + 4/6 = 5/6.
   • So, 3 1/6 + 2 2/3 = 5 5/6.

2. 8 5/7 + 2 1/14:

   • Add the whole numbers: 8 + 2 = 10.
   • Add the fractions: 5/7 + 1/14. To add fractions with different denominators, find a common denominator, which is 14 in this case.
   • Convert 5/7 to have a denominator of 14: (5/7) * (2/2) = 10/14.
   • Now, add the fractions: 10/14 + 1/14 = 11/14.
   • So, 8 5/7 + 2 1/14 = 10 11/14.

3. 1 5/16 + 8 1/2:

   • Add the whole numbers: 1 + 8 = 9.
   • Add the fractions: 5/16 + 1/2. To add fractions with different denominators, find a common denominator, which is 16 in this case.
   • Convert 1/2 to have a denominator of 16: (1/2) * (8/8) = 8/16.
   • Now, add the fractions: 5/16 + 8/16 = 13/16.
   • So, 1 5/16 + 8 1/2 = 9 13/16.

4. 6 7/10 + 9 5/20:

   • Add the whole numbers: 6 + 9 = 15.
   • Add the fractions: 7/10 + 5/20. To add fractions with different denominators, find a common denominator, which is 20 in this case.
   • Convert 7/10 to have a denominator of 20: (7/10) * (2/2) = 14/20.
   • Now, add the fractions: 14/20 + 5/20 = 19/20.
   • So, 6 7/10 + 9 5/20 = 15 19/20.

Therefore, the results are as follows:

1. 3 1/6 + 2 2/3 = 5 5/6
2. 8 5/7 + 2 1/14 = 10 11/14
3. 1 5/16 + 8 1/2 = 9 13/16
4. 6 7/10 + 9 5/20 = 15 19/20