Question

Write the following as a mixed number.

65/18

Write 2 5/7 as an improper fraction

Perform the operation and write the answer in simplest form. 
4/7 x 3/11
6/10 / 12/7
5 1/7 x 3 1/9
6 3/7 / 1 13/14

Answer 1

1. Write the following as a mixed number.
`(65)/(18)`

`3(11)/(18)`

2. Write
`2(5)/(7)` as an improper fraction

`(18)/(7)`

3. Perform the operation and write the answer in simplest form.
a)4/7*3/11= 12/77
b)6/10 / 12/7= 7/20
c)5 1/7*3 1/9= 16
d)6 3/7 / 1 13/14= 10/3

Hope this helps

Answer 2

Answer and Explanation :

1) Number
`(65)/(18)`

Converting improper fraction into mixed fraction,

Divide 65 by 18

65 ÷ 18 = 3 with a remainder 11.

11 ÷ 4 = 2 with a remainder of 3

So, We write down the 3 and then write down the remainder 11 above the denominator 18.

i.e.
`(65)/(18)=3(11)/(18)`

2) Number
`2(5)/(7)`

Converting mixed into improper fraction,

Step 1 - Multiply the whole number part by the denominator

i.e.
`7* 2=14`

Step 2 - Add that to the numerator

i.e.
`14+5=19`

Step 3 - The result is

`2(5)/(7)=(19)/(7)`

3) Perform the operation and write the answer in simplest form.

a)
`(4)/(7)*(3)/(11)`

Multiply,

`(4)/(7)*(3)/(11)=(12)/(77)`

b)
`(6)/(10)/(12)/(7)`

Divide,

`(6)/(10)/(12)/(7)=(6* 7)/(10* 12)`

`(6)/(10)/(12)/(7)=(7)/(20)`

c)
`5(1)/(7)*3(1)/(9)`

First convert mixed into improper,

`(36)/(7)*(28)/(9)`

Multiply,

`(36)/(7)*(28)/(9)=16`

d)
`6(3)/(7)/ 1(13)/(14)`

First convert mixed into improper,

`(45)/(7)*(27)/(14)`

Divide,

`(45)/(7)*(27)/(14)=(45* 14)/(7*27)`

`(45)/(7)*(27)/(14)=(10)/(3)`