in a jewelry store, rings make up 5/9 of the inventory. Earrings make up 4/15 of the inventory. How many times greater is the ring inventory than the earring inventory?
Result
5
9
×
15
4
=
5 × 15
9 × 4
=
75
36
=
75 ÷ 3
36 ÷ 3
=
25
12
OR 2 1
12
To find out how many times greater the ring inventory is compared to the earring inventory, we need to compare their proportions or ratios.
Given:
- Rings make up 5/9 of the inventory.
- Earrings make up 4/15 of the inventory.
To make the comparison, we need to simplify both fractions to have the same denominator. The least common multiple (LCM) of 9 and 15 is 45.
Converting the fractions:
Rings: (5/9) * (5/5) = 25/45
Earrings: (4/15) * (3/3) = 12/45
Now, we can calculate the ratio:
Ring inventory : Earring inventory = 25/45 : 12/45
To compare the two inventories, we can divide the ring inventory by the earring inventory:
(25/45) ÷ (12/45)
Simplifying the division:
(25/45) * (45/12)
= (25/12)
The ratio of the ring inventory to the earring inventory is 25/12.
Therefore, the ring inventory is approximately 2.08 times greater than the earring inventory.