Answer:
1. [tex]\frac{1}{4}[/tex]
2.[tex]\frac{5}{6}[/tex]
3.[tex]\frac{3}{10}[/tex]
4. 1[tex]\frac{1}{8}[/tex]
5. 2[tex]\frac{6}{7}[/tex]
6. 3[tex]\frac{8}{9}[/tex]
Step by Step Explanation
I used the same method with all 6 questions, I had to tweak it slightly for the last 3 as they were mixed fractions.
For the first 3 questions, I used the number you had to make and multiplied it by the denominator. Let's use the first questions as an example.
We need to make 7 by adding something to 27/4. I multiplied 7 by 4 in order to get 28.
This means your goal is to get to 28/4.
The difference between 28/4 and 27/4 is 1/4. Meaning you only have to add 1/4 in order to make 7.
For the last 3 questions I first sorted the fractions out. Let's use the first question again on the right side as an example.
I made 5[tex]\frac{7}{8}[/tex] a top heavy fraction by first multiplying 5 by 8, which makes 40. I then added 40 to 7 making 47. Now the fraction is 47/8.
Now that we have our top-heavy fraction we do the same as last time. We need to make 7. So we multiply 7 by 8 and that makes 56. The difference between 56 and 47 is 9. So we need 9/8 in order to get to 56/8. We need a mixed fraction so 9/8 becomes 1[tex]\frac{1}{8}[/tex].
I hope this helps, if this was confusing don't be afraid to ask questions.
