6 1/4 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 learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. 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 6 1/4 as a decimal?

$6 1/4 as a decimal$

Answer

6 1/4 in decimals can be written as 6.25. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 6 1/4 to a decimal, we'll handle it in two parts: the whole number and the fractional part.

Step 1: Identify the whole number, which is 6, and the fraction, which is 1/4.

Step 2: Convert the fraction part (1/4) into a decimal by dividing the numerator by the denominator.

Step 3: Divide 1 by 4, and you get 0.25.

Step 4: Combine the whole number with the decimal fraction, making the result 6 + 0.25 = 6.25.

Thus, the answer for 6 1/4 as a decimal is 6.25.

Important Glossaries for 6 1/4 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.