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).
SEE ALSO : Chapter 10: Mensuration
- 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.
SEE ALSO : Chapter 11: Algebra
- 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.
SEE ALSO : Chapter 12: Ratio and Proportion
- 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.
SEE ALSO : Chapter 14: Practical Geometry
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