Question

What is all the expressions and sums of 3/4?

Answer 1

the expressions and sums of 3/4?​

A)

The given expression is :

`\begin{gathered} (1)/(2)+(2)/(4) \\ (1)/(2)+(2)/(4)=(1)/(2)+(1)/(2) \\ (1)/(2)+(2)/(4)=(1+1)/(2) \\ (1)/(2)+(2)/(4)=(2)/(2) \\ (1)/(2)+(2)/(4)=1 \end{gathered}`

So, expression A doesnot show the sum or difference of 3/4

B)

The given expression is :

`\begin{gathered} (11)/(12)-(1)/(6) \\ \text{Take LCM of (12,6) is 12} \\ (11)/(12)-(1)/(6)=(11-2)/(12) \\ (11)/(12)-(1)/(6)=(9)/(12) \\ (11)/(12)-(1)/(6)=(3)/(4) \end{gathered}`

The difference is equal to 3/4

C)

The given expression is ;

`\begin{gathered} (3)/(5)+(3)/(20) \\ \text{Take LCM of (5 and 20) = 20} \\ (3)/(5)+(3)/(20)=(12+3)/(20) \\ (3)/(5)+(3)/(20)=(15)/(20) \\ (3)/(5)+(3)/(20)=(3)/(4) \end{gathered}`

The sum is equal to 3/4

D)

The given expression is :

`\begin{gathered} (7)/(8)-(1)/(2) \\ \text{take LCM of (8,2) = 8} \\ (7)/(8)-(1)/(2)=(7-4)/(8) \\ (7)/(8)-(1)/(2)=(3)/(8) \end{gathered}`

The difference is not equal to 3/4

E)

The given expression is :

`\begin{gathered} (2)/(3)+(1)/(12) \\ \text{take LCM of (3,12) = 12} \\ (2)/(3)+(1)/(12)=(8+1)/(12) \\ (2)/(3)+(1)/(12)=(9)/(12) \\ (2)/(3)+(1)/(12)=(3)/(4) \end{gathered}`

The sum is equal to 3/4

Answer : (B), (C) & (E)