57/80 as a Decimal

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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 (number on the top), here 57 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 80. 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 57/80 as a decimal?

$57/80 as a decimal$ Answer

57/80 in decimal form can be written as 0.7125. It is a terminating decimal, meaning the digits do not repeat infinitely.

Explanation

To convert 57/80 to a decimal, we will use the division method. Since 57 is smaller than 80, we will use the decimal method to perform the division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (57) will be taken as the dividend and the denominator (80) will be the divisor.

Step 2: Since 57 is smaller than 80, it cannot be divided directly. We will place a decimal point in the quotient and add zeros to the dividend.

Step 3: Multiply 80 by 7 to get 560, which fits into 570 (57 with an added zero). Place 7 in the quotient. Subtract 560 from 570 to get 10.

Step 4: Bring down another 0, making it 100. Divide 100 by 80 to get 1, place 1 in the quotient, subtract 80 from 100 to get 20.

Step 5: Bring down another 0, making it 200. Divide 200 by 80 to get 2, place 2 in the quotient, subtract 160 from 200 to get 40.

Step 6: Bring down another 0, making it 400. Divide 400 by 80 to get 5, place 5 in the quotient, subtract 400 from 400 to get 0, completing the division. The division process results in a terminating decimal.

The answer for 57/80 as a decimal is 0.7125.

Important Glossaries for 57/80 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.