17/20 as a Decimal

Professor Greenline Explaining Math Concepts

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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 (the number on the top), which represents how many parts out of the whole, and the denominator (the number below), which shows how many parts make the whole. In the fraction 17/20, 17 is the numerator, and 20 is the denominator. A decimal is a way to represent a number that is not whole, using 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 17/20 as a decimal?

$17/20 as a decimal$ Answer

17/20 in decimal form is 0.85. It is a terminating decimal, which means it does not repeat infinitely.

Explanation

To convert 17/20 to a decimal, we will use the division method. Since 17 is smaller than 20, we will use the decimal method to obtain the result:

Step 1: Identify the numerator and denominator. The numerator (17) will be taken as the dividend, and the denominator (20) will be taken as the divisor.

Step 2: As 17 is smaller than 20, we will take the help of decimals. We will add 0 to the dividend, making 17 into 170, and add a decimal point in the quotient place.

Step 3: Now that it is 170, we can divide it by 20. Let's see how many times 20 fits into 170.

Step 4: 20 goes into 170 exactly 8 times because 20 × 8 = 160. We will write 8 in the quotient place and subtract 160 from 170, which gives us 10.

Step 5: Bring down another 0 in the dividend place, making it 100, and repeat the division process. 20 goes into 100 exactly 5 times because 20 × 5 = 100. With this process, the remainder becomes 0, indicating the decimal terminates.

The answer for 17/20 as a decimal is 0.85.

Important Glossaries for 17/20 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.