To determine what fraction 25 minutes is of 40 minutes, we follow these steps:
1. Identify the total amount of time:
The total amount of time we are considering is 40 minutes.
2. Identify the part of the total time:
The part of the total time we are interested in is 25 minutes.
3. Express the part as a fraction of the total:
We do this by dividing the part (25 minutes) by the total (40 minutes):
[tex]\[
\text{Fraction} = \frac{\text{Part}}{\text{Total}} = \frac{25}{40}
\][/tex]
4. Simplify the fraction (if needed):
To simplify, divide both the numerator and the denominator by their greatest common divisor (GCD), which is 5 in this case:
[tex]\[
\frac{25}{40} = \frac{25 \div 5}{40 \div 5} = \frac{5}{8}
\][/tex]
So, 25 minutes is [tex]\(\frac{5}{8}\)[/tex] of 40 minutes.
5. Convert the fraction to a decimal (if needed):
For further understanding, we might convert the fraction to a decimal:
[tex]\[
\frac{25}{40} = 0.625
\][/tex]
Therefore, the fraction of 25 minutes out of 40 minutes is [tex]\(\frac{5}{8}\)[/tex], which is also equivalent to 0.625 in decimal form.
