A box of shortbreads is shared among three children. Elijah gets 3 times as many shortbreads as Michael. Michael gets five times as many shortbreads as Henry. What fraction of the box of shortbreads does Elijah get?
| Elijah |
Michael |
Henry |
Total |
| 3x5 |
1x5 |
|
|
| |
5x1 |
1x1 |
|
| 15 u |
5 u |
1 u |
21 u |
The number of Michael's shortbreads is the repeated identity. Make the number of Michael's shortbreads the same. LCM of 1 and 5 is 5.
Total pieces of shortbreads
= 15 u + 5 u + 1 u
= 21 u
Fraction of the box of shortbreads that Elijah gets
=
1521 =
57 Answer(s):
57 
