. 2 3 is_____ than 3 2

Given, We have to compare 2 3 and 3 2 LCM of 3 and 2 is 6 . 2 3 = 2 × 2 3 × 4 = 4 6 3 2 = 3 × 3 2 × 3 = 9 6 When we compare the like fraction, 4 < 6 Thus, 2 3 is smaller than 3 2

The simplest form of 10 4 is_____

We have to find the simplest form of 10 4 . Divide the numerator and denominator of given fraction by common factor. So, the common factor is 2 . 10 ÷ 2 4 ÷ 2 = 5 2 = 2 1 2 Thus, the simplest form of 10 4 is 2 1 2 .

Show 1 5 on a number line.

We have to represent 1 5 on number line. To represent the fraction 1 5 on the number line, hence, we need to divide the line segment between 0 and 1 into five equal parts, where the first point as shown in the figure represents the fraction 1 5 , the second represents 2 5 and so on. Hence, 1 5 is as shown on the number line.

Convert 1 3 , 1 4 and 1 5 into like fractions.

Like fraction has same denominator whereas unlike fractions have different denominators. To convert unlike fractions into like fractions we have to take L C M of denominators, L C M 3 , 4 , 5 = 60 1 3 = 1 × 20 3 × 20 = 20 60 [Making the denominator equal to the LCM] 1 4 = 1 × 15 4 × 15 = 15 60 1 5 = 1 × 12 5 × 12 = 12 60 Therefore, 1 3 = 20 60 , 1 4 = 15 60 , 1 5 = 12 60

Write the following in the simplest form : 27 64 , 121 11011 , 5 15 , 42 49 , 33 77

Given fractions are 27 64 , 121 11011 , 5 15 , 42 49 , 33 77 In 27 64 , there is no common factor between numerator and denominator except 1 . So, the simplest form of 27 64 is 27 64 . ⇒ 121 11011 = 121 ÷ 121 11011 ÷ 121 = 1 91 ⇒ 5 15 = 5 ÷ 5 15 ÷ 5 = 1 3 ⇒ 42 49 = 42 ÷ 7 49 ÷ 7 = 6 7 ⇒ 33 77 = 33 ÷ 3 77 ÷ 7 = 3 7 Therefore, the simplest form of given fraction 27 64 , 1 91 , 1 3 , 6 7 , 3 7