Aptitude Round Question-Decimal Fractions-Free Download
A fraction is either a proper fraction or an improper fraction.
•A proper fraction is a number representing a part of a whole. This
whole may be a single object or a group of objects. An improper
fraction is a number in which numerator is gr
eater than denominator
•A mixed fraction is a combination of a natural number and a proper
•Two fractions are multiplied by multiplying their numerators and
denominators separately and writing the product as
product of numerators
product of denominators
. For example,
•A fraction acts as an operator ‘of’. For example,
13of 3 is 13× 3 = 1.
•The product of two proper fractions is less than each of the
111236×=and16is less than both 12and 13.
•The product of a proper and an improper fraction is less than the
improper fraction and greater than the proper fraction. For example,
1322×= 34and 34is less than 32but greater than 12.
•The product of two improper fractions is greater than the two
3724×= 218and 218
is greater than both
•The reciprocal of a non-zero fraction is obtained by
interchangingits numerator and denominator
. For example, reciprocal of 32is23.
•While dividing a whole number by a fraction, we multiply the whole
number with the reciprocal of that fraction
.For example, 3 ÷ 1
2= 3 × 21.
•While dividing a fraction by a natural number, we multiply the
by the reciprocal of the natural number.
14÷ 2 = 14× 12.
•While dividing one fraction by another fraction, we multiply the first
fraction by the reciprocal of the other.
12÷ 13= 12× 31.
•While multiplying two decimal numbers, first multiply them as whole
numbers. Count the number of digits to the right of the decimal
point in both the decimal numbers. Add the number of digits
counted. Put the decimal point in the product by counting the
number of digits equal to sum obtained from its rightmost place. For
example, 1.2 × 1.24 = 1.488.
•To multiply a decimal number by 10,100or 1000, we move the
decimal point in the number to the right by as many places as many
zeros (0) are the right of one. For example, 1.33 × 10 = 13.3.
•To divide a decimal number by a natural number
, we first take thedecimal number as natural number and divide by the
given naturalnumber. Then place the decimal point in the quotient as in
•To divide a decimal number by 10, 100 or 1000, shift the decimal
point in the decimal number to the left by as many places as there
are zeros over 1, to get the quotient. For example,
Main Concepts and Results
• A fraction is a number representing a part of a whole. This whole
may be a single object or a group of objects.
• A fraction whose numerator is less than the denominator is called a
proper fraction, otherwise it is called an improper fraction.
• Numbers of the type
5 4 13 ,8 ,27 9 5etc. are called mixed fractions
• An improper fraction can be converted into a mixed fraction and
• Fractions equivalent to a given fraction can be obtained by
multiplying or dividing its numerator and denominator by a non-
• A fraction in which there is no common factor, except 1, in its
numerator and denominator is called a fraction in the
simplest or lowestform.
• Fractions with same denominators are called
like fractions and if the denominators are different, then they are
• Fractions can be compared by converting them into like fractions
and then arranging them in ascending or descending order.
• Addition (or subtraction) of like fractions can be done by adding
(or subtracting) their numerators
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