The concept of fractions and decimals is an essential part of mathematics. Fractions represent a part of a whole number, and they are used to divide a unit into smaller parts. In this case, we are asked to find 2/5 of an hour. To understand this better, let us start with some basics.
An hour is a unit of time used to measure the duration of an event or the time it takes to complete a task. It is commonly used in daily life to indicate the time of day or the length of an activity. One hour is equal to 60 minutes or 3,600 seconds. Therefore, 2/5 of an hour is a fraction of 60 minutes or 3,600 seconds.
To find 2/5 of an hour, we need to divide one hour into five equal parts, and then take two of those parts. One way to visualize this is to imagine an analog clock, which has 12 hours marked on its face. Each hour is divided into five equal parts, so each part represents 1/5 of an hour, or 12 minutes. Therefore, to find 2/5 of an hour, we need to find two of these 12-minute parts.
To calculate this mathematically, we can use the formula:
2/5 x 60 minutes = ?
Here, we have multiplied 2/5 by 60 because there are 60 minutes in one hour. To simplify this fraction, we can first reduce it to its simplest form by dividing the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 2 and 5 is 1, so we cannot reduce the fraction any further.
Next, we multiply the numerator (2) by 60 and then divide the result by the denominator (5):
2/5 x 60 = (2 x 60) / 5 = 120 / 5 = 24
Therefore, 2/5 of an hour is equal to 24 minutes. We can also express this as a decimal by dividing 2 by 5 and then multiplying the result by 60:
2/5 = 0.4
0.4 x 60 = 24
Therefore, 2/5 of an hour is equal to 24 minutes or 0.4 hours.
Another way to think about this is to break down one hour into smaller units, such as minutes or seconds. Since we know that one hour is equal to 60 minutes, we can find 2/5 of an hour by finding 2/5 of 60 minutes:
2/5 x 60 = (2 x 60) / 5 = 120 / 5 = 24
Therefore, 2/5 of an hour is equal to 24 minutes.
In conclusion, 2/5 of an hour is equal to 24 minutes or 0.4 hours. This concept of fractions and decimals is important in many aspects of daily life, including measuring time, money, and distance. It is also an essential part of mathematics, and understanding it can help us solve a wide range of problems.