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120 LearnersLast updated on March 3rd, 2025
39/80 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 39, which represents how many parts out of the whole, and the denominator (number below), here 80, which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 39/80 as a decimal?
Answer
39/80 in decimals can be written as 0.4875. It is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To get 39/80 in decimal form, 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 (80) will be taken as the divisor.
Step 2: Divide 39 by 80. Since 39 is smaller than 80, the quotient starts with 0.
Step 3: Use the decimal method. Add a decimal point in the quotient and bring down a 0 to the dividend, making it 390.
Step 4: Divide 390 by 80. 80 goes into 390 four times (80 × 4 = 320), leaving a remainder of 70.
Step 5: Bring down another 0, making it 700. Divide 700 by 80. 80 goes into 700 eight times (80 × 8 = 640), leaving a remainder of 60.
Step 6: Bring down another 0, making it 600. Divide 600 by 80. 80 goes into 600 seven times (80 × 7 = 560), leaving a remainder of 40.
Step 7: Bring down another 0, making it 400. Divide 400 by 80. 80 goes into 400 five times (80 × 5 = 400), leaving no remainder. The division process ends here, resulting in a terminating decimal.
The answer for 39/80 as a decimal is 0.4875.
Important Glossaries for 39/80 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.
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