227/50 as a Decimal

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This is a simple question on decimal conversion. To tackle this, we first need to understand fractions and decimals. A fraction represents a part of a whole and is composed of two parts: the numerator (the top number), which here is 227, indicating the number of parts being considered, and the denominator (the bottom number), which here is 50, showing how many parts make up a whole. A decimal is a format for representing numbers that are not whole, using a decimal point (.) to separate the whole part from the fractional part. Numbers to the left of the decimal point represent the whole part, while those to the right represent the fractional part.

What is 227/50 as a decimal?

$227/50 as a decimal$

Answer

227/50 in decimal form is 4.54. This is a terminating decimal, which means it ends after a few digits.

Explanation

To convert 227/50 to a decimal, we use the division method. Here, since 227 is larger than 50, we can directly divide the numerator by the denominator. Let's break down the process step by step:

Step 1: Identify the numerator and denominator. The numerator (227) is the dividend, and the denominator (50) is the divisor.

Step 2: Divide 227 by 50. The division gives us 4 as the whole number part.

Step 3: Calculate the remainder. 227 minus (4 times 50) equals 27.

Step 4: Add a decimal point and bring down a zero to the remainder, making it 270.

Step 5: Divide 270 by 50, which gives us 5.

Step 6: Calculate the new remainder. 270 minus (5 times 50) equals 20.

Step 7: Bring down another zero, making it 200, and divide by 50, which gives us 4.

Step 8: Continue the process, but here the remainder becomes zero, meaning the decimal terminates.

The answer for 227/50 as a decimal is 4.54.

Important Glossaries for 227/50 as a decimal

Fraction: A numerical expression representing a part of a whole, consisting of a numerator and a denominator.
Decimal: A number expressed in the base ten system, using a decimal point to separate the whole number from the fractional part.
Numerator: The top part of a fraction, representing how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, indicating how many equal parts the whole is divided into.
Terminating Decimal: A decimal number that concludes after a certain number of digits and does not repeat infinitely.