7/25 as a Decimal

Professor Greenline Explaining Math Concepts

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: the numerator (number on the top) here, 7 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 a number that is not whole, using a (.) 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.

7/25 as a Decimal for US Students

What is 7/25 as a decimal?

$7/25 as a decimal$

Answer

7/25 in decimals can be written as 0.28. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 7/25 in decimal, we will use the division method. Here, 7 is smaller than 25, so we will take the help of the decimal method which will give us 0.28. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (7) will be taken as the dividend, and the denominator (25) will be taken as the divisor.

Step 2: As 7 is smaller than 25, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making it 70, and add a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 25. Let's see how many times 25 fits into 70.

Step 4: 70 is not a multiple of 25, so we will look for the nearest number. 25 × 2 = 50.

Step 5: We write 2 in the quotient place and subtract 50 from 70, giving us 20.

Step 6: Bring down another 0 in the dividend place to make it 200 and then continue the division process.

Step 7: 25 × 8 = 200, so we write 8 in the quotient place and subtract 200 from 200, which leaves us with 0. The division process ends here, and we get the remainder as 0. This process shows that 7/25 is a terminating decimal.

The answer for 7/25 as a decimal is 0.28.

Important Glossaries for 7/25 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.