But remember that, simple things need perfection
and perfection is not a simple thing.
Study the Examples and solve all the problems
given in exercise and check with the Answers.
Method of Converting Fractions to Decimals
Simple method : Fractions to Decimals
This method is suitable when the
denominator is a power of 10.
This method is simply putting a decimal point
in the Numerator by looking at the denominator.
When the denominator is a power of 10,
count the number of zeros in it (say 'n').
Then the required decimal is obtained by
putting a decimal point in the numerator
after 'n' digits from the right.
If there are not sufficient number
of digits, put zeros.
19⁄10 = 1.9
7⁄1000 = .007 = 0.007
234⁄100 = 2.34
56789⁄1000 = 56.789
9786412⁄100000 = 97.86412
Sometimes, we can convert a fraction to an
equivalent fraction with denominator, a power of 10.
Then, we can apply the simple method.
3⁄20 = (3x5)⁄(20x5) = 15⁄100 = .15 = 0.15
7⁄4 = (7x25)⁄(4x25) = 175⁄100 = 1.75
13⁄50 = (13x2)⁄(50x2) = 26⁄100 = 0.26
5⁄8 = (5x125)⁄(8x125) = 625⁄1000 = 0.625
1⁄250 = (1x4)⁄(250x4) = 4⁄1000 = 0.004
Long Division Method : Fractions to Decimals
This is a general method and
can be used for any fraction.
Step 1 :
Perform the usual long division with numerator
as dividend and denominator as divisor till we
get a remainder (which is less than the divisor).
Step 2 :
Put a decimal point in the dividend and the quotient.
Step 3 :
Put a zero on the right of the decimal point in the
dividend as well as on the right of the remainder.
Divide again just as whole numbers.
Step 4 :
Repeat step 3 till the remainder is zero.
The quotient is the required decimal.
The method will be clear by the following examples.
Example 1 is an Improper Fraction,
Example 2 is a mixed fraction
and Example 3 is a proper fraction.
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Convert the following fractions into decimals by simple method
Convert the following fractions into decimals by division method
For Answers, see at the bottom of the pages.
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