7/15 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 of the whole. It has two parts: the numerator (number on the top), here 7, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here, it is 15. 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 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 7/15 as a decimal?

$7/15 as a decimal$ Answer

7/15 in decimals can be written as 0.46666… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 7/15 to a decimal, we will use the division method. Here, as 7 is smaller than 15, we will use the decimal method, which will give us 0.4666. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (15) as the divisor.

Step 2: As 7 is smaller than 15, it can't be divided. We will ake the help of decimals by adding 0 to the dividend, making 7 as 70, and adding a decimal point in the quotient.

Step 3: Now that it is 70, we can divide it by 15. Let's see how many times 15 fits into 70.

Step 4: 70 is not a multiple of 15, so we will look for the nearest number. 15 × 4 = 60. We will write 4 in the quotient place and subtract 60 from 70, which gives 10.

Step 5: Bring down another 0 in the dividend place, making 10 as 100, and repeat the division process. The division process continues without getting a remainder of 0. This process is called a recurring decimal.

The answer for 7/15 as a decimal will be 0.4666…

Important Glossaries for 7/15 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.
Recurring Decimal: A decimal that repeats the same digit or group of digits infinitely.