Question

What is the answer please?
I need help

Answer 1

see explanation

Explanation:

given 6
`(3)/(8)` × 4

Change the mixed number to an improper fraction

6
`(3)/(8)` =
`(51)/(8)`

The product can now be written as

`(51)/(8)` ×
`(4)/(1)` ( cancel the 4 and 8 ), leaving

`(51)/(2)` = 25
`(1)/(2)`

given 9
`(7)/(24)` - 8
`(7)/(8)`

There are 2 possible approaches

Approach 1

note that 9
`(7)/(24)` = 9 +
`(7)/(24)`

Similarly 8
`(7)/(8)` = 8 +
`(7)/(8)`

The difference can be expressed as

9 - 8 +
`(7)/(24)` -
`(7)/(8)`

= 1 +
`(7)/(24)` -
`(21)/(24)` ← with like denominators

= 1 -
`(14)/(24)` =
`(24)/(24)` -
`(14)/(24)`

=
`(10)/(24)` =
`(5)/(12)`

Approach 2

Change the mixed numbers to improper fractions

9
`(7)/(24)` =
`(223)/(24)`, 8
`(7)/(8)` =
`(71)/(8)`

The difference can now be expressed as

`(223)/(24)` -
`(71)/(8)`

=
`(223)/(24)` -
`(213)/(24)` ← like denominators

=
`(10)/(24)` =
`(5)/(12)`

Answer 2

25 1/2.

5/12.

Explanation:

9 7/24 - 8 7/8

Convert to improper fractions:

= (9*24) + 7) / 24 - (8 * 8 + 7) / 8

= 223/24 - 71/8

The LCM of 8 and 24 is 24 so we convert the second fraction to denominator 24.

= 223 / 24 - 213/24

= 10/24

= 5/12 (answer).

First question:

6 3/8 * 4

= 51 / 8 * 4

= 204 / 8

= 25 1/2