Question

1/7 x 4/5 =
1 1/3 x 5/8 =
5/6 x 2/3 =

Answer 1

• 
  `[(1)/(7)}`×
  `(4)/(5)]` =
  `(4)/(35)`

• 
  `[(11)/(3)`×
  `(5)/(8)]` =
  `(55)/(24)`

• 
  `[(5)/(6)`×
  `(2)/(3)]` =
  `(5)/(9)`

Explanation:

• Consider the first equation,
  `[(1)/(7)}`×
  `(4)/(5)]`.

Solving this as follows:

`[(1)/(7) *(4)/(5)] = [(1 * 4)/(7*5)] \\=(4)/(35)`

The fraction
`(4)/(35)` cannot be simplified any further.

• Consider the second equation,
  `[(11)/(3)`×
  `(5)/(8)]`

Solving this as follows:

`[(11)/(3)*(5)/(8)]=[(11*5)/(3*8)]\\ =(55)/(24)\\`

The fraction
`(55)/(24)` cannot be simplified any further.

• Consider the second equation,
  `[(5)/(6)`×
  `(2)/(3)]`

Solving this as follows:

`[(5)/(6) *(2)/(3)] = [(5*2)/(6*3)]\\ =(10)/(18)\\=(5)/(9)`

The fraction
`(5)/(9)` cannot be simplified any further.