6 9/25 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 from the whole. It has two parts, numerator (number on the top) here, 9 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 25. A decimal is a way to represent the 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 that to the right represents the fractional part.

What is 6 9/25 as a decimal?

$6 9/25 as a decimal$

Answer

6 9/25 in decimals can be written as 6.36. It is a terminating decimal, showing it does not repeat infinitely.

Explanation

To get 6 9/25 in decimal, we will use the division method for the fractional part. Here as 9 is smaller than 25, we will take the help of decimal method which will give us 0.36. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (9) will be taken as dividend and denominator (25) will be taken as divisor.

Step 2: As 9 is smaller than 25, it can't be divided, so we will take the help of decimals. We will add 0 to the dividend, which will make 9 as 90 and add a decimal point in the quotient place.

Step 3: Now that it is 90, we can divide it by 25. Let's see how many times 25 makes 90.

Step 4: 90 is not a multiple of 25, so we will look for the nearest number that is 25 × 3 = 75. We will write 3 in the quotient place and subtract 75 from 90, which gives 15.

Step 5: Bring down another 0 in the dividend place and make 15 as 150, then repeat the division process.

Step 6: 150 divided by 25 is exactly 6, so the division process ends here with no remainder. The fractional part 9/25 as a decimal is 0.36, so the whole number with fractional part as a decimal will be 6.36.

Important Glossaries for 6 9/25 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.