The ratio of 500 to 625, when simplified, is 4:5.
To find the ratio, we divide both numbers by their greatest common divisor (GCD).
Here's how to determine the ratio:
- Identify the numbers: We have 500 and 625.
- Find the Greatest Common Divisor (GCD):
- Prime factorization of 500: 2 x 2 x 5 x 5 x 5 = 2² x 5³
- Prime factorization of 625: 5 x 5 x 5 x 5 = 5⁴
- The GCD is 5 x 5 x 5 = 5³ = 125.
- Divide both numbers by the GCD:
- 500 / 125 = 4
- 625 / 125 = 5
Therefore, the simplified ratio of 500 to 625 is 4:5.
Based on the reference, we know that a ratio of 4:5 also appears when discussing the "Ratio of sale price to Marked price" on 09-Jan-2020. This demonstrates a practical use of a 4:5 ratio, although it is not specifically related to the numbers 500 and 625.
| Number | Value |
|---|---|
| Original Ratio | 500:625 |
| Simplified Ratio | 4:5 |
The given reference states "∴ Ratio of sale price to Marked price = 4 : 5." This is a specific example of a situation in which the ratio 4:5 appears.
