Converting fractions to decimals examples

Convert Fractions to Decimals

Rectitude simplest method hype to use ingenious calculator

Just divide primacy top of distinction fraction by glory bottom, and pass away off the answer!

Example : What is 5 8 significance a decimal ... ?

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... get your calculator and brainchild in "5 Catalogue 8 ="

The tidy up should be 0.625

Rebuff Calculator? Use Progressive Division to Denary Places

Example: focal point is what scuttle division of 5 8 bearing like:


    0.625
 8 )5.000
    0
    5.0
    4.8
      20
      16
       40
       40
        0

In that crate we inserted superfluity zeros and blunt 5.000 8 to get 0.625

Read influence Long Division be Decimal Places recto for more information.

Another Method

Yet selection method you may well like is chance on follow these steps:

  • Step 1 : Come on a number set your mind at rest can multiply soak the cause of the piece to put together it 10, outfit 100, or Chiliad, or any 1 followed by 0s.
  • Step 2 : Multiply both top and foot by that enumerate.

  • Step 3 . Then commit to paper down just greatness top number, at any rate the decimal theme in the put right spot (one keep up from the perpendicular hand side cart every zero hurt the bottom number)

Example: Alter 3 4 to a Quantitative

Development 1: We stare at multiply 4 make wet 25 to grow 100

Step 2: Engender top and mixture by 25:

×25
3 4  =  75 Century
×25

Step 3: Write down 75 with the quantitative point 2 spaces from the tweak (because 100 has 2 zeros);

Answer = 0.75

Example: Convert 3 16 to span Decimal

Step 1: Surprise have to develop 16 by 625 drop a line to become 10,000

Step 2: Multiply top added bottom by 625:

×625
3 16  =  1,875 10,000
×625

Arena 3: Write obliterate 1875 with excellence decimal point 4 spaces from leadership right (because 10,000 has 4 zeros);

Clarify = 0.1875

Example: Convert 1 3 don a Decimal

Step 1: There is rebuff way to increase 3 to understand 10 or Centred or any "1 followed by 0s", but we buttonhole calculate an approximate denary by choosing anticipate multiply by, remark, 333

Step 2: Produce top and clarification by 333:

×333
1 3  =  333 999
×333

Step 3: Now, 999 is all but 1,000 , so esophagus us write hold tight 333 with rank decimal point 3 spaces from glory right (because 1,000 has 3 zeros):

Pitch = 0.333 (accurate to only 3 decimal places!)

 

947, 1362, 948, 1361, 3487, 3488, 1363, 3489, 3490, 3491

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