Step-by-step explanation:
First, we need to find the difference between
2
3
and
1
2
We can write this as:
2
3
−
1
2
To subtract fractions we must put them over a common denominator:
(
2
3
×
2
2
)
−
(
1
2
×
3
3
)
⇒
2
×
2
3
×
2
−
1
×
3
2
×
3
⇒
4
6
−
3
6
⇒
4
−
3
6
⇒
1
6
In a word problem with fractions like this the word "of" means to multiply, so we can calculate the result as:
1
4
×
1
6
⇒
1
×
1
4
×
6
⇒
1
24