What is 45 minutes in decimal?

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. 

Answer: 45 minutes in decimal is 0.75

Let's look into the two methods to write 45 minutes in decimal.

Explanation: 

Method 1: Writing 45 minutes in decimal using the division method

To convert any fraction to decimal form, we just need to divide its numerator by denominator.

Using the unitary method, we can say that 45 minutes = 3/4 hour

Here, the fraction is 3/4 which means we need to perform 3 ÷ 4

In this case, we need to divide 3 by 4. 

We know that 3 is smaller than 4. So we add zeros behind the numerator in order to make our division legal. 

Hence, we try 30/4. 

The answer to 30/4 is 7.5

But please note that we had divided the numerator earlier in order to make it mathematically correct. Hence, we also need to divide the answer by 100. 

Thus, we can say that 3/4 as a decimal = 7.5/100 = 0.75

This gives the answer as 0.75. So, 45 minutes in decimal is 0.75

Method 2: Writing 45 minutes in decimal by converting the denominator to powers of 10

Step 1: Find a number such that we can multiply by the denominator of the fraction to make it 10 or 100 or 1000 and so on.

Step 2: Multiply both numerator and denominator by that number to convert it into it's an equivalent fraction.

Step 3: Then write down just the numerator, putting the decimal point in the correct place, that is, one space from the right-hand side for every zero in the denominator.

3/4 = (3 × 5²) / (4 × 5²) = 75/100 = 0.75

Irrespective of the methods used, the answer to 45 minutes in decimal will always remain the same.

You can also verify your answer using Cuemath's Fraction to Decimal Calculator.

Thus, 45 minutes in decimal is 0.75