Huwebes, Pebrero 16, 2012

Dividing decimal

Example: Divide 9.1 by 7

Ignore the decimal point and use Long Division:
   13
7 )91
   9
   7
   21
   21
    0
Put the decimal point in the answer directly above the decimal point in the dividend:

   1.3
7 )9.1

The answer is 1.3



Dividing by a Decimal Number

But what if you want to divide by a Decimal Number?
The trick is to convert the number you are dividing by to a whole number first, by shifting the decimal point of both numbers to the right:
move decimals
Now you are dividing by a whole number, and can continue as normal.
It is safe to do this if you remember to shift the decimal point of both numbers the same number of places.

Example 2: Divide 5.39 by 1.1

You are not dividing by a whole number, so you need to move the decimal point so that you are dividing by a whole number:
move 1
5.39 53.9
1.1 11
move 1
You are now dividing by a whole number, so you can proceed:
Ignore the decimal point and use Long Division:
    049
11 )539
    5
    0
    53
    44
     99
     99
      0
Put the decimal point in the answer directly above the decimal point in the dividend:
    04.9
11 )53.9

The answer is 4.9

dividing fractions

There are 3 Simple Steps to Divide Fractions:

Step 1. Turn the second fraction (the one you want to divide by) upside-down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal

Step 3. Simplify the fraction (if needed)


Example 1

1 ÷ 1


2 6

Step 1. Turn the second fraction upside-down (it becomes a reciprocal):

1  becomes  6


6 1

Step 2. Multiply the first fraction by that reciprocal:

1 × 6 = 1 × 6 = 6




2 1 2 × 1 2
Step 3. Simplify the fraction:
6 = 3

2