Question

3 5/6= 1 2/3+ H. Substitute 2 1/6 for H

Answer 1

`\mathrm{H}=2 (1)/(6)` is correct value of expression
`3 (5)/(6)=1 (2)/(3)+\mathrm{H}`

Solution:

Given expression is
`3 (5)/(6)=1 (2)/(3)+\mathrm{H}`

We have to substitute
`2(1)/(6)` for H

We have to substitute the value into the given expression and determine whether the given value of "H" makes the sentence true

On substituting given value of H in equation (1) and solving Right Hand Side, we get,

`1 (2)/(3)+2 (1)/(6)`

Now let us convert the mixed fractions,

`1 (2)/(3)+2 (1)/(6)=(3 * 1+2)/(3)+(6 * 2+1)/(6)=(5)/(3)+(13)/(6)`

On solving we get,

`(5)/(3)+(13)/(6)=(10+13)/(6)=(23)/(6)`

Thus we have solved R.H.S and got the value
`(23)/(6)`

Now let us solve L.H.S of expression,

`3 (5)/(6)=(6 * 3+5)/(6)=(18+5)/(6)=(23)/(6)`

Thus L.H.S and R.H.S are equal

Thus given "H" =
`2(1)/(6)` makes the expression true