31/20 as a Decimal

Professor Greenline Explaining Math Concepts

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 31, representing how many parts out of the whole, and the denominator (number below), here 20, showing how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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.

31/20 as a Decimal for US Students

What is 31/20 as a decimal?

$31/20 as a decimal$ Answer

31/20 in decimal form is 1.55. It is a terminating decimal, indicating it does not repeat infinitely.

Explanation

To convert 31/20 into a decimal, we use division. Since 31 is greater than 20, we can directly perform division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (31) will be taken as the dividend and the denominator (20) as the divisor.

Step 2: Divide 31 by 20.

Step 3: 31 divided by 20 equals 1 with a remainder of 11.

Step 4: Bring down a 0 to make it 110. Divide 110 by 20.

Step 5: 110 divided by 20 equals 5 with no remainder.

Therefore, the decimal representation of 31/20 is 1.55.

Important Glossaries for 31/20 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.

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