Answer:
Step-by-step explanation: First, you have to understand that both fractions are not equivalent, so you must turn the fraction with a lower denominator, into a fraction that has that same denominator as the other to make it equivalent! You cannot add fractions with a different denominator.
Okay, number one is 1/4 plus 5/12, you are first going to look for the fraction with the lower denominator number, that is 1/4. Next you will look for the common denominator of both fractions, that means to look at numbers 4 and 12! The common denominator is 12, because 4 can be multiplied by 3 to turn into the number 12, and 12 can be multiplied by 1 to stay as 12. Also since you multiply 4 by 3 you will also have to multiply 1 by 3 because 1 and 4 are in the fraction 1/4, this
makes the new fraction into 3/12, and 5/12 just stays the same!
Now you can add the fractions 3/12 plus 5/12! The answer is (8/12!) :)
Follow the same steps with Number 2:
1/7 is turned into 2/14 because the common denominator was 14, so you multiply 1 times two and 7 times two.
2/14 plus 3/14 is 5/14!
Okay Number 3 is a bit different because the common denominator is not directly shown.
You will have to look for the common denominator in numbers 5 and 3.
The least common denominator is 15 because 3 time 5 is 15 and 5 times 3 is 15!
For fraction 1/5, you multiply 5 time 3 to get 15, and also multiply 1 times 3 to complete the fraction into 3/15.
For fraction 2/3, you multiply 3 times 5 to get 15 and multiply 2 time 5 to get 10 and complete the fraction 10/15.
Now you add fractions, 3/15 plus 10/15
The answer is 13/15!!!
You are welcome, I did this with all my heart to write all I could to help. I would want someone to also help me when I am stuck on something.
Hope this will help:)