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conversion of fractions and decimals

converting decimal fractions into decimals

Fractions with denominators 10, 100, ..., etc., are called
decimal fractions. Knowledge Desk

Fractions with denominator 10 are converted into decimals In measurements, decimals
help you to be very precise
by putting a decimal point (.) after one digit from the — a millimetre is just 0.001

right in the numerator. of a metre!
7 3
Examples: (a) = 07 . ( b) = 03 .
10 10
5
( c) = 05 .
10

Fractions with denominator 100 are converted into decimals by putting a decimal point (.)
after two digits from the right in the numerator.
34 72
Examples: (a) = 034 (b) = 072
.
.
100 100 A mixed number is a combination
( c) 8 = 0.08 of a whole number and a fraction.
100
A zero has been added before
8 to make two decimal places
We can also convert mixed numbers into decimals. To write a mixed number as a decimal,

write the whole number as it is and convert the fractional part into a decimal.
5 1
Examples: (a) 3 = 35 . ( b) 2 = 201
.
10 100
85
( c) 3 = 385
.
100
converting decimals into decimal fractions

To convert a decimal into a decimal fraction, write the given decimal number as the
numerator without the decimal point and in the denominator, write 1 followed by as many

zeros as there are digits after the decimal point.
9 9
Examples: (a) 09. = ( b) 009. =
10 100
175 75 1236 36
(c) 175. = = 1 (d) 12 36. = = 12
100 100 100 100

1351 51
( e) 13 51. = = 13
100 100

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