Final answer:
To calculate the sum of 13 5/7 and 13/28, convert the mixed number to an improper fraction, find a common denominator, add the numerators, and simplify the result. The final sum is 13 13/28.
Step-by-step explanation:
The question asks for the sum of 13 5/7 + 13/28. To find this sum, we need to add these two numbers. First, we will convert the mixed number to an improper fraction for easier addition. The mixed number 13 5/7 can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator, so 13 * 7 + 5 = 91/7. Now we have two fractions, 91/7 and 13/28.
To add two fractions, they must have a common denominator. We can use 28 as the common denominator because it is a multiple of 7. By multiplying the numerator and denominator of 91/7 by 4, we get 364/28. Now we can add the two fractions: 364/28 + 13/28 equals 377/28. The sum can be simplified to 13 13/28, as there are 13 whole parts (28 * 13 = 364) plus the remaining 13/28.
In conclusion, when the fractions are on a common denominator, it is straightforward to add their numerators, and this approach yields the final sum of 13 13/28.