Certainly! Let's solve the problem step by step.
We are given:
- The weight of the mixed nuts: 6.5 oz. (although we won't actually need this for the calculation since it doesn't affect the fraction computation)
- A fraction: [tex]\(\frac{10}{29}\)[/tex]
- A large number: 00073678
Our goal is to find the product of the fraction [tex]\(\frac{10}{29}\)[/tex] and the number 00073678.
### Step-by-Step Solution
1. Convert the fraction and the number:
- The fraction given is [tex]\(\frac{10}{29}\)[/tex], which is already in its simplest form.
- The number given is 00073678. Leading zeros don’t affect the value of a number, so we can just consider this as 73678.
2. Calculate the product:
We need to multiply [tex]\(\frac{10}{29}\)[/tex] by 73678.
[tex]\[
\text{Product} = \frac{10}{29} \times 73678
\][/tex]
3. Perform the multiplication:
Let's break this into two steps: first compute [tex]\(10 \times 73678\)[/tex], and then divide by 29.
- Multiply 10 and 73678:
[tex]\[
10 \times 73678 = 736780
\][/tex]
- Now, divide 736780 by 29:
[tex]\[
\frac{736780}{29}
\][/tex]
Let's perform the division:
[tex]\[
\frac{736780}{29} \approx 25406.206896551724 (rounded to several decimal places)
\][/tex]
### Final Answer
The value of the mixed nuts can be approximated as:
[tex]\[
\boxed{25406.21}
\][/tex]
This is the result of multiplying the fraction [tex]\(\frac{10}{29}\)[/tex] by the number 73678 and rounding to two decimal places.
