Important Concepts and Formulas
2. In a proper fraction, the numerator
is less than the denominator.
3. In an improper fraction, the
numerator is greater than or equal to the denominator.
4. A mixed fraction has a whole number
part and a fractional part.
5. An improper fraction can be converted
into a mixed fraction, which is written as a combination of a whole number and
a proper fraction.
7. Equivalent fractions of a given
fraction can be obtained by multiplying both the numerator and the denominator
by the same number.
8. A fraction is said to be in its
simplest form (or in lowest terms), if its numerator and the denominator have
no common factor other than 1.
9. Among two fractions with the same
denominator, the fraction with the greater numerator is the greater of the two.
10. Among two fractions with the same
numerator, the fraction with the smaller denominator is the greater of the two.
11. We can find the sum and difference of
unlike fractions by changing the fractions to their equivalent fractions having
the same denominator.
12. To multiply a whole number with a
fraction (proper or improper), we multiply the whole number with the numerator
of the fraction, keeping the denominator same.
13. When two proper fractions are
multiplied, the product is always less than each of the given fractions,
whereas the product of two improper fractions is always greater than each of
the given fractions.
14. The product of a fraction with its
reciprocal is always equal to 1.
15. To divide a whole number or a
fraction by another fraction, multiply the dividend by the reciprocal of the
divisor.
16. Before dividing a fraction or whole
number by a mixed fraction, convert the mixed fraction into an improper
fraction and then divide.
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