A box of shortbreads is shared among three children. Liam gets 4 times as many shortbreads as Fred. Fred gets thrice as many shortbreads as Jeremy. What fraction of the box of shortbreads does Liam get?
| Liam |
Fred |
Jeremy |
Total |
| 4x3 |
1x3 |
|
|
| |
3x1 |
1x1 |
|
| 12 u |
3 u |
1 u |
16 u |
The number of Fred's shortbreads is the repeated identity. Make the number of Fred's shortbreads the same. LCM of 1 and 3 is 3.
Total pieces of shortbreads
= 12 u + 3 u + 1 u
= 16 u
Fraction of the box of shortbreads that Liam gets
=
1216 =
34 Answer(s):
34 
