Question

Drag and drop the numbers to place them in increasing order. -3/4 , -1 1/3, 0.7, 1/2

Answer 1

`\large \bf \implies- 1 (1)/(3) \: < \: - (3)/(4) \: < \: (1)/(2) \: < \: 0.7`

Step-by-step explanation :

• 
  `- (3)/(4)`

• 
  `- 1 (1)/(3) = ((3 * - 1) \: + \: (1))/(3) = ( - 3 + 1)/(3) = ( - 2)/(3)`

• 
  `(1)/(2)`

• 
  `0.7 = (7)/(10)`

`\bf\longrightarrow{ - (3)/(4) \: , \: - (2)/(3) \: , \: (7)/(10) \: , (1)/(2) }`

Convert into same denominators

`\begin{array} l2 & 4, 3,10,2\\2 & 2,3,5,1 \\3& 1,3,5,1 \\5 & 1,1 ,5,1\\& 1,1,1,1 \\\end{array} \\ \\ \: \: \: \: \: \: \therefore \: {2 * 2 * 3 * 5 = 60}`

• 
  `- (3)/(4) = - (3 * 15)/(4 * 15) = - (45)/(60)`

• 
  `- (2)/(3) = - (2 * 20)/(3 * 20) = - (40)/(60)`

• 
  `(7)/(10) = (7 * 6)/(10 * 6) = (42)/(60)`

• 
  `(1)/(2) = (1 * 30)/(2 * 30) = (1)/(60)`

`\bf\longrightarrow{ - (3)/(4) \: , \: - (2)/(3) \: , \: (7)/(10) \: , (1)/(2) }`

`\bf\longrightarrow{- (45)/(60) \: , \: - (40)/(60) \: , \: (42)/(60) \: , \: (1)/(60) }`

Answer :

`\bf\longrightarrow{ - (40)/(60) \: < - (45)/(60) \: < \: (1)/(60) \: < \: (42)/(60) }`

`\bf\longrightarrow{ { - (2)/(3) \: < \: - (3)/(4) < \: (1)/(2) \: , (7)/(10) }}`

`\bf \longrightarrow{- 1 (1)/(3) \: < \: - (3)/(4) \: < \: (1)/(2) \: < \: 0.7}`