Question

Please write answers to the questions that are in the image.

Answer 1

To find part A you need to find common denominator.

1/3 + 3/5=

5/15 + 9/15= 14/15

His mistake for a is that he didn't find the common denominator and that he just added the fraction as it is. So the corrected version would be 14/15.

To find part B you also need to find the least common denominator.

11/12-5/6=

11/12-10/12=1/12

His mistake was that he didn't find the least common denominator and he subtracted the fraction as it is. The answer corrected would be 1/12.

Explanation:

Answer 2

see explanation

Explanation:

He has incorrectly added/ subtracted the numerators/ denominators directly

To add/ subtract fractions we require them to have a common denominator

(a)

`(1)/(3)` +
`(3)/(5)`

The lowest common multiple of 3 and 5 is 15

Change fractions to this denominator by multiplying numerator/denominator by the relevant value.

=
`(1(5))/(3(5))` +
`(3(3))/(5(3))`

=
`(5)/(15)` +
`(9)/(15)`

Now add the values on the numerators leaving the denominator

=
`(5+9)/(15)` =
`(14)/(15)`

------------------------------------------------------------------------------------

(b)

`(11)/(12)` -
`(5)/(6)`

The lowest common multiple of 12 and 6 is 12

The first fraction already has a denominator of 12

Multiply the numerator/denominator of the second fraction by 2

=
`(11)/(12)` -
`(5(2))/(6(2))`

=
`(11)/(12)` -
`(10)/(12)`

=
`(11-10)/(12)` =
`(1)/(12)`