14/18 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 of the whole. It has two parts: numerator (number on the top) here, 14 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 18. 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 14/18 as a decimal?

$14/18 as a decimal$ Answer

14/18 in decimals can be simplified to approximately 0.77777….. It is a recurring decimal, meaning it will repeat the same digit infinitely.

Explanation

To convert 14/18 to a decimal, we will use the division method. First, simplify the fraction to its simplest form, which is 7/9. Then, proceed with the division:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: As 7 is smaller than 9, it can't be divided directly, so we will use the decimal method. We add a decimal point in the quotient place and a 0 to the dividend, making it 70.

Step 3: Now that it is 70, we can divide it by 9. Let's see how many times 9 fits into 70.

Step 4: 70 is not a multiple of 9, so we find the nearest number: 9 × 7 = 63. We write 7 in the quotient place and subtract 63 from 70, giving 7.

Step 5: Bring down another 0 in the dividend place, making it 70 again, and then repeat the division process. The division process continues indefinitely, resulting in a recurring decimal.

The answer for 14/18 as a decimal is approximately 0.7778.

Important Glossaries for 14/18 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 in which one or more digits repeat infinitely.