1. Rewrite 3 and 1/3 as an improper fraction. Explain your answer.
2. Rewrite 6 and 8/9 as an improper fraction. Explain your answer.
3. Rewrite 5 and 1/4 as an improper fraction. Explain your answer .
4. Rewrite 7 and 2/3 as an improper fraction. Explain your answer .
5. Rewrite 9 and 3/5 as an improper fraction. Explain your answer.
Can anyone explain this to me? Will give brailiest.

okay well ill do the first on and explain it so hopefully you can do the rest

3 and 1/3 is equal to 10/3 because a whole number would be 3/3 and we have 3 whole numbers plus 1/3

3/3
3/3
3/3
1/3
add it up and you get 10/3

Answer Link

mathstudent55 mathstudent55 · Answer 2 · 2017-11-21T15:43:03+01:00

1.

3 1/3 is the same as 3 + 1/3.

3 + 1/3 =

Write 3 as a fraction.

= 3/1 + 1/3

You need 3/1 to have a denominator of 3, so you get

= 9/3 + 1/3

= 10/3

10/3 is the same as 3 1/3.
10 divided by 3 = 3 reminder 1, so 10/3 = 3 1/3

2.

6 8/9 = 6 + 8/9 =

= 6/1 + 8/9

= 54/9 + 8/9 = 62/9

3.

5 1/4 = 5 + 1/4 =

= 5/1 + 1/4

= 20/4 + 1/4

= 21/4

4.

7 2/3 = 7 + 2/3 =

= 7/1 + 2/3

= 21/3 + 2/3

= 23/3

5.

9 3/5 = 9 + 3/5 =

= 9/1 + 3/5

= 45/5 + 3/5

= 48/5

Now that I showed you 5 times how to change a mixed numeral into an improper fraction by adding the whole number part and the fraction part, I will show you a shortcut.

Example 1.
Change 5 1/4 into a mixed numeral.

Multiply the whole number, 5, by the denominator and add the numerator.
5 * 4 + 1 = 20 + 1 = 21
Then set this number over the denomiator, 21/4

5 1/4 = 21/4

Example 2.
Change 7 2/3 into an improper fraction.

7 * 3 + 2 = 21 + 2 = 23
Write 23 over the denominator, 3.

7 2/3 = 23/3