To determine the ratio of white keys to black keys on a piano, we start with the given ratio:
[tex]\[ \frac{\text{Black keys}}{\text{White keys}} = \frac{4}{10} \][/tex]
This ratio tells us that for every 4 black keys, there are 10 white keys.
To find the ratio of white keys to black keys, we simply invert this original ratio. Here are the steps:
1. The original ratio is [tex]\[ \frac{4}{10} \][/tex]
2. Inverting the ratio, we get [tex]\[ \frac{10}{4} \][/tex]
This inverted ratio, [tex]\(\frac{10}{4}\)[/tex], indicates that for every 10 white keys, there are 4 black keys.
In terms of expressing this ratio, we can write it in different forms:
1. As a fraction: [tex]\(\frac{10}{4}\)[/tex]
2. Using a colon: [tex]\(10:4\)[/tex]
3. In words: [tex]\(10 \text{ to } 4\)[/tex]
Thus, the ratio of white keys to black keys on the piano is [tex]\(10:4\)[/tex].
