Calculate the following sums of fractions:

(12/7) + (4/7) + (20/7) = ?
(21/13) + (14/13) + (10/13) = ?
(15/11) + (10/11) + (21/11) = ?
(31/17) + (41/17) + (38/17) = ?

To solve these problems, we are adding fractions that all have the same denominator. When the denominators are the same, you simply add the numerators together.

For the expression 7 12 ​ + 7 4 ​ + 7 20 ​ :

Add the numerators: 12 + 4 + 20 = 36
Keep the common denominator: 7
Therefore, 7 12 ​ + 7 4 ​ + 7 20 ​ = 7 36 ​


For the expression 13 21 ​ + 13 14 ​ + 13 10 ​ :

Add the numerators: 21 + 14 + 10 = 45
Keep the common denominator: 13
Therefore, 13 21 ​ + 13 14 ​ + 13 10 ​ = 13 45 ​


For the expression 11 15 ​ + 11 10 ​ + 11 21 ​ :

Add the numerators: 15 + 10 + 21 = 46
Keep the common denominator: 11
Therefore, 11 15 ​ + 11 10 ​ + 11 21 ​ = 11 46 ​


For the expression 17 31 ​ + 17 41 ​ + 17 38 ​ :

Add the numerators: 31 + 41 + 38 = 110
Keep the common denominator: 17
Therefore, 17 31 ​ + 17 41 ​ + 17 38 ​ = 17 110 ​



These steps will help you add fractions with the same denominator easily. Remember, when adding fractions with the same denominator, focus primarily on the numerators, and maintain the common denominator.

Answered by EmmaGraceJohnson | 2025-07-06