Question

Please solve with explanation

Answer 1

3
`(9)/(10)`

Explanation:

Note that + (- ) = -

Given

6
`(1)/(5)` + ( - 2
`(3)/(10)`)

= 6
`(1)/(5)` - 2
`(3)/(10)`

Change both mixed numbers into improper fractions, that is

=
`(31)/(5)` -
`(23)/(10)`

We require both denominators to be common before subtracting.

Multiply the numerator/ denominator of the first fraction by 2

=
`(31(2))/(5(2))` -
`(23)/(10)`

=
`(62)/(10)` -
`(23)/(10)`

Now subtract numerators leaving the denominator

=
`(62-23)/(10)`

=
`(39)/(10)` ← change back to a mixed number

= 3
`(9)/(10)`