Question

Estimate and then find the difference.
23 1/6-5 6/8

Answer 1

The difference between
`23 (1)/(6)-5 (6)/(8)` is
`17 (5)/(12)`

Step-by-step explanation:

`23 (1)/(6)-5 (6)/(8)`

`(139)/(6)-(46)/(8)`

Calculating,

=
`(139)/(6)-(23)/(4)`

taking lcm for denominator

=
`(278-69)/(12)`

=
`(209)/(12)`

converting into mixed fraction

=
`17 (5)/(12)`

Answer 2

For this case we have the following expression:

`23 \frac {1} {6} -5 \frac {6} {8} =`

We convert mixed numbers to improper fractions:

`23 \frac {1} {6} = \frac {6 * 23 + 1} {6} = \frac {138 + 1} {6} = \frac {139} {6}\\5 \frac {6} {8} = \frac {8 * 5 + 6} {8} = \frac {40 + 6} {8} = \frac {46} {8} = \frac {23} {4 }`

Rewriting the expression we have:

`\frac {139} {6} - \frac {23} {4} = \frac {4 * 139-6 * 23} {24} = \frac {556-138} {24} = \frac {418} { 24} = \frac {209} {12}`

Thus, the expression is simplified as:

`\frac {209} {12}`

Answer:

`\frac {209} {12}`