10/20 + 11/13
I know I have to first find the LCM which is 260.
Then I found the equivalent fractions which were 130/260 and 220/260.
When I add those I get 350/260 which is an improper fraction.
Then I change that to a mixed number fraction. The answer I got was 1 9/26 but for some reason that just seems wrong??
That answer doesn't seem wrong to me?
Clarify your problem if you would like additional help.
Let's estimate. 10/20 = 1/2
11/13 is way over 1/2. You know that your answer must be over 1.
Your answer looks right to me, too.
I'm not sure, it just didn't seem correct -- but thanks, I guess I will go with it! :)
seems simple enough to me
350/260 = 35/36
Now it's clear that the answer is 1 9/26 since 35=26+9
To solve the expression 10/20 + 11/13, you followed the correct steps of finding the least common multiple (LCM) and converting the fractions to equivalent fractions with the same denominator.
1. Find the LCM of the denominators, which are 20 and 13.
- The LCM of 20 and 13 is indeed 260.
2. Convert the fractions to equivalent fractions with the denominator of 260.
- For 10/20, multiply both the numerator and denominator by 13, resulting in 130/260.
- For 11/13, multiply both the numerator and denominator by 20, resulting in 220/260.
3. Add the equivalent fractions.
- 130/260 + 220/260 = 350/260.
4. Simplify the fraction if possible.
- Both the numerator and denominator of 350/260 can be divided by 10: 35/26.
5. Convert the improper fraction to a mixed number.
- To convert 35/26 to a mixed number, divide the numerator (35) by the denominator (26).
- The quotient is 1 with a remainder of 9. So, the mixed number is 1 and 9/26.
Therefore, the correct answer is indeed 1 9/26. It represents one whole and nine twenty-sixths, which is a valid result for adding the given fractions.