9/14 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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, and the denominator (number below) shows how many parts make the whole, here it is 14. 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 9/14 as a decimal?

$9/14 as a decimal$

Answer

9/14 in decimals can be written as approximately 0.642857. It is a repeating decimal, showing it will repeat the sequence of digits infinitely.

Explanation

To get 9/14 in decimal, we will use the division method. Here, as 9 is smaller than 14, we will take the help of decimal method which will give us 0.642857. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator, because the numerator (9) will be taken as the dividend and the denominator (14) will be taken as the divisor.

Step 2: As 9 is smaller than 14, it can't be divided. Here 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 14. Let's see how many times 14 fits into 90.

Step 4: 14 goes into 90 about 6 times, since 14 × 6 = 84. We write 6 in the quotient place and subtract 84 from 90, which gives 6.

Step 5: Bring down another 0 in the dividend place, making it 60, and repeat the division process. Continue this process to get the repeating sequence 642857.

The division process continues, producing the repeating decimal sequence 0.642857...

Important Glossaries for 9/14 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.
Repeating Decimal: A decimal that has a repeating sequence of digits after the decimal point that continues infinitely.