Four operations of fractions (no calculator) - Wiki

  • #Fouroperationsoffractions
    • Which one of the following has the same value as `1 3/4`?
      • #Fouroperationsoffractions

        `xx` `3/4`  = `3/4`

        `xx`  `1/4` = `7/4` = 1`3/4`

        `-:` `3/4`  = 1`xx`  `4/3` = 1`1/3`

        `3/4` + `1/4` = `4/4`  = 1

        `xx`  `1/4`  is the correct answer.

                                  

    • Find the value of `6 -: 3/11`. Ans: _BLANK_
      • #fouroperationsoffractions(nocalculator)

        `-:` `3/11`

        `6/1`  `xx`  `11/3`    

          `66/3`  = 22 

         

    • Peter had `3/8` as many marbles as Simon. After Simon misplaced `3/4` of his marbles, Peter had 120 more marbles than Simon. How many marbles did Peter have? Ans: _BLANK_
      • #fouroperationsoffractions(nocalculator)

        Before-

        P : S

        3 : 8

        After Simon replaced  `3/4`  of his marbles, he has  `1/4`  left

        8u `xx` `1/4` = 2u 

        After-   

        P : S

        3 : 2

        Difference

        3u - 2u = 1u

        1u = 120 marbles

        No. of marbles peter had

        3u = 120 `xx` 3 = 360 

  • #fouroperatinsoffractions
    • Mrs Lee had `1 1/6` kg of sugar. She bought another `3/4` kg of sugar. She packed all the sugar equally into bags of `1/12` kg each. How many bags of sugar did she have?
      • #fouroperatinsoffractions(nocalculator)

        Toatl weight of sugar

        1`1/6` + `3/4` = 1`2/12` + `9/12` = 1`11/12` kg

        No. of bags of sugar

        1`11/12` `-:` `1/12` = `23/12`  `xx`  `12/1`  = 23