Answer:
![\[12619 = 126 (1)/(5)\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/2dg8uobyhf5yq9ckkf3to3jlhroq4an4vf.png)
Explanation:
To convert the number 12619 to a mixed number, you need to express it as a whole number and a proper fraction. Here's how you can do it:
1. Divide 12619 by the denominator of the fraction part, which is 100. This will give you the whole number part of the mixed number.
![\[12619 / 100 = 126\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/b5shqj6nw0u3dl3siq3wc0pxiwbxmomxyn.png)
2. Now, find the remainder by taking the remainder of the division from step 1 and divide it by the denominator again (100):
![\[19 / 100 = (19)/(100)\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/kpmjfc8q18r1l0urlkf4pl9sry3ut2s0se.png)
So, the mixed number representation of 12619 is:
![\[12619 = 126 (19)/(100)\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/uteb7qzxee6dh2lcydtto4sjwdi5j66kfl.png)
You can simplify the fraction by reducing it:
![\[(19)/(100) = (1)/(5)\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/38xs9upa8v3aog9taakmgfk15tc5k0dhjg.png)
So, the mixed number is:
![\[12619 = 126 (1)/(5)\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/2dg8uobyhf5yq9ckkf3to3jlhroq4an4vf.png)