What fraction of an hour is 40 minutes ?

Options

A. `1/2`
B. `1/3`
C. `2/3`
D. `1/4`

Answer

To find out what fraction of an hour is 40 minutes, we can follow these steps:

### Step 1: Understand the relationship between minutes and hours
1 hour is equal to 60 minutes.

### Step 2: Set up the fraction
We want to express 40 minutes as a fraction of 1 hour (which is 60 minutes). Therefore, we can set up the fraction as:
\[ \text{Fraction} = \frac{\text{Minutes}}{\text{Total Minutes in an Hour}} = \frac{40 \text{ minutes}}{60 \text{ minutes}} \]

### Step 3: Simplify the fraction
Now we simplify the fraction \(\frac{40}{60}\):
- Both the numerator (40) and the denominator (60) can be divided by their greatest common divisor (GCD), which is 20.

So, we divide both by 20:
\[ \frac{40 \div 20}{60 \div 20} = \frac{2}{3} \]

### Step 4: Conclusion
Thus, 40 minutes is \(\frac{2}{3}\) of an hour.

### Final Answer:
The fraction of an hour that is 40 minutes is \(\frac{2}{3}\).

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