27/4 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), which in this case is 27, representing how many parts out of the whole; and the denominator (number below), which is 4, showing how many parts make the whole. A decimal is a way to represent numbers that are not whole, using a (.) or 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 27/4 as a decimal?

$27/4 as a decimal$

Answer

27/4 in decimals can be written as 6.75. It is a terminating decimal, meaning it does not repeat and ends after a few digits.

Explanation

To convert 27/4 to a decimal, we use the division method. Here's a step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (27) will be taken as the dividend, and the denominator (4) will be the divisor.

Step 2: Begin the division of 27 by 4. Determine how many times 4 fits into 27.

Step 3: 4 fits into 27 six times (since 4 × 6 = 24), with a remainder of 3.

Step 4: Bring down a 0 to the remainder, making it 30, and continue the division.

Step 5: 4 fits into 30 seven times (since 4 × 7 = 28), with a remainder of 2.

Step 6: Bring down another 0, making it 20, and divide.

Step 7: 4 fits into 20 five times (since 4 × 5 = 20), with a remainder of 0. Since there is no remainder, the division process terminates.

The answer for 27/4 as a decimal is 6.75.

Important Glossaries for 27/4 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.