- 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 greater than denominator.
- A mixed fraction is a combination of a natural number and a proper fraction.
- Two fractions are multiplied by multiplying their numerators and denominators separately and writing the product as product of numerators product of denominators
- A fraction acts as an operator ‘of ’. For example, 1 3 of 3 is 1 3 × 3 = 1.
- The product of two proper fractions is less than each of the fractions,For example, 1 1 1 2 3 6 × = and 1
6 is less than both 1 2 and 1 3. - The product of a proper and an improper fraction is less than the improper fraction and greater than the proper fraction.
- For example, 1 3 2 2 × = 3 4 and 3 4 is less than 3 2 but greater than 1 2 .
- The product of two improper fractions is greater than the two fractions. For example, 3 7 2 4 × = 21 8 and
21 8 is greater than both 3 2 and 7 4 . - The reciprocal of a non-zero fraction is obtained by interchanging its numerator and denominator.
- For example, reciprocal of 3 2 is 2 3 .
- 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 × 2 1 .
- While dividing a fraction by a natural number, we multiply the fraction by the reciprocal of the natural number.
- For example, 1 4 ÷ 2 = 1 4 × 1 2 .
- While dividing one fraction by another fraction, we multiply the first fraction by the reciprocal of the other.
- For example, 1 2 ÷ 1 3 = 1 2 × 3 1 .
- 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, 100 or 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 the decimal number as natural number and divide by the given natural number.
- Then place the decimal point in the quotient as in the decimal number.
- For example, 1.2 4 = 0.3
- 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, 1.34 100 = 0.0134
- While dividing one decimal number by another, first shift the decimal points to the right by equal number of places in both, to convert the divisor to a natural number and then divide.
- For example 1.44 1.2 = 14.4 12 = 1.2.
Facebook Comments Box