Main Concept And Result
- 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 541 3 ,8 ,2 795 etc. are called mixed fractions (numbers).
- An improper fraction can be converted into a mixed fraction and vice versa.
- Fractions equivalent to a given fraction can be obtained by multiplying or dividing its numerator and denominator by a nonzero number.
- A fraction in which there is no common factor, except 1, in its numerator and denominator is called a fraction in the simplest or lowest form.
- Fractions with same denominators are called like fractions and if the denominators are different, then they are called unlike fractions.
- 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.
- Addition (or subtraction) of unlike fractions can be done by converting them into like fractions.
- Fractions with denominators 10,100, etc. can be written in a form, using a decimal point, called decimal numbers or decimals.
- Place value of the place immediately after the decimal point (i.e. tenth place) is 1 10 , that of next place (i.e. hundredths place) is 1 100 and so on.
- Fractions can be converted into decimals by writing them in the form with denominators 10,100, and so on.
- Similarly, decimals can be converted into fractions by removing their decimal points and writing 10,100, etc in the denominators, depending upon the number of decimal places in the decimals.
- Decimal numbers can be compared using the idea of place value and then can be arranged in ascending or descending order.
- Decimals can be added (or subtracted) by writing them with equal number of decimal places.
- Many daily life problems can be solved by converting different units of measurements such as money, length, weight, etc. in the decimal form and then adding (or subtracting) them.