Question

Subtract 3 4/5 -1 3/5

Answer 1

The given expression is :

`3(4)/(5)-1(3)/(5)`

Express the mixed fraction in the fraction form :

`\begin{gathered} 3(4)/(5)=(3*5+4)/(5) \\ 3(4)/(5)=(19)/(5) \\ \\ 1(3)/(5)=(1*5+3)/(5) \\ 1(3)/(5)=(8)/(5) \end{gathered}`

Substitute the value :

`3(4)/(5)-1(3)/(5)=(19)/(5)-(8)/(5)`

Simplify: Since the denominator are same so equate the numertor value together :

`\begin{gathered} 3(4)/(5)-1(3)/(5)=(19)/(5)-(8)/(5) \\ 3(4)/(5)-1(3)/(5)=(19-8)/(5) \\ 3(4)/(5)-1(3)/(5)=(11)/(5) \end{gathered}`

Express 11/5 in terms of mixed fraction :

So, divide 11/5 :

So :

`(11)/(5)=2(1)/(5)`

`3(4)/(5)-1(3)/(5)=2(1)/(5)`

Now express in the deimal form :

So, 11/5 = 2.2

`3(4)/(5)-1(3)/(5)\text{ = 2.2}`

Answer : 3 4/5 -1 3/5​ = 2 1/5, 3 4/5 -1 3/5​ = 11/5 or 3 4/5 -1 3/5​ = 2.2