Convert the following into mixed fraction: 101 8

We know that, a fraction in which the numerator is equal to or greater than the denominator is called an improper fraction. Given fraction is 101 8 . Divide the numerator by denominator, to get a quotient and remainder. By dividing 101 8 , we will get remainder is 5 and quotient is 12 . Mixed numbers contain both a whole number and a fraction. The whole number of a mixed fraction is quotient obtained. So, 12 is the whole number. Remainder becomes new numerator of a mixed fraction with same denominator as it is. ⇒ 12 + 5 8 = 12 × 8 + 5 8 = 101 8 = 12 5 8 . So, the mixed fraction of 101 8 is 12 5 8 .

Convert the following into mixed fraction: 17 5

We know that, a fraction in which the numerator is equal to or greater than the denominator is called an improper fraction. Given fraction is 17 5 . Divide the numerator by denominator, to get a quotient and remainder. By dividing 17 5 , we will get remainder is 2 and quotient is 3 . Mixed numbers contain both a whole number and a fraction. The whole number of a mixed fraction is quotient obtained. So, 3 is the whole number. Remainder becomes new numerator of a mixed fraction with same denominator as it is. ⇒ 3 + 2 5 = 3 × 5 + 2 5 = 17 5 = 3 2 5 . So, the mixed fraction of 17 5 is 3 2 5 .

Convert the following into mixed fraction: 95 13

We know that, a fraction in which the numerator is equal to or greater than the denominator is called an improper fraction. Given fraction is 95 13 . Divide the numerator by denominator, to get a quotient and remainder. By dividing 95 13 , we will get remainder is 4 and quotient is 7 . Mixed numbers contain both a whole number and a fraction. The whole number of a mixed fraction is quotient obtained. So, 7 is the whole number. Remainder becomes new numerator of a mixed fraction with same denominator as it is. ⇒ 7 + 4 13 = 7 × 13 + 4 13 = 95 13 = 7 4 13 . So, the mixed fraction of 95 13 is 7 4 13 .

Represent the following fractions on number line. 2 7 , 3 7 , 4 7 , 8 7

It is given to represent the fractions 2 7 , 3 7 , 4 7 , 8 7 on the number line. Like whole numbers fractions can also be represented on the number line. Draw a number line and mark the points at equal intervals. Let these point represent the numbers 0 , 1 and 2 . In representations of fractions on the number line, divide the unit distance that is the portion of line between 0 and 1 into equal parts. The denominator of fractions 2 7 , 3 7 , 4 7 , 8 7 suggests that the unit is divided into 7 equal parts. On a number line divide unit length into 7 equal parts and mark the fractions 1 7 , 2 7 , 3 7 , 4 7 , 5 7 , 6 7 and 7 7 . Therefore, the point marked in red on the number line represents the fractions 2 7 , 3 7 , 4 7 , 8 7 .

Represent the following fractions on number line. 1 4 , 1 2 , 3 4 , 4 4

It is given to represent the fractions 1 4 , 1 2 , 3 4 , 4 4 ⇒ 1 4 , 2 4 , 3 4 , 4 4 on the number line. Like whole numbers fractions can also be represented on the number line. Draw a number line and mark the points at equal intervals. Let these point represent the numbers 0 , 1 and 2 . In representations of fractions on the number line, divide the unit distance that is the portion of line between 0 and 1 into equal parts. The denominator of fractions 1 4 , 2 4 , 3 4 , 4 4 suggests that the unit is divided into 4 equal parts. On a number line divide unit length into 4 equal parts and mark the fractions 1 4 , 2 4 , 3 4 and 4 4 . Therefore, the point marked in red on the number line represents the fractions 1 4 , 2 4 , 3 4 , 4 4 .