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111 LearnersLast updated on March 11th, 2025
39/40 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 39 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 40. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
What is 39/40 as a decimal?
Answer
39/40 in decimals can be written as 0.975. It is a terminating decimal, meaning it ends and does not repeat.
Explanation
To get 39/40 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process
Step 1: Identify the numerator and denominator because the numerator (39) will be taken as the dividend and the denominator (40) will be taken as the divisor.
Step 2: As 39 is smaller than 40, we will take the help of decimals. We will add 0 to the dividend, which will make 39 as 390 and add a decimal point in the quotient place.
Step 3: Now that it is 390, we can divide it by 40. Let's see how many times 40 makes 390.
Step 4: 390 is not an exact multiple of 40, so we will look for the nearest number that is 40 × 9 = 360. We will write 9 in the quotient place and subtract 360 from 390, which gives 30.
Step 5: Bring down another 0 in the dividend place and make 30 as 300, then divide again.
Step 6: 40 goes into 300 exactly 7 times, as 40 × 7 = 280. Subtracting 280 from 300 gives 20.
Step 7: Bring down another 0 to make 200, then divide by 40. 40 goes into 200 exactly 5 times, as 40 × 5 = 200. The division process ends with a remainder of 0, which indicates a terminating decimal.
The answer for 39/40 as a decimal will be 0.975.
Important Glossaries for 39/40 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
