14/9 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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

$14/9 as a decimal$

Answer

14/9 in decimals can be written as 1.55555… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 14/9 in decimal, we will use the division method. Here as 14 is larger than 9, we will perform the division directly. Let's see the step-by-step breakdown of the process.

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

Step 2: Divide 14 by 9. 9 goes into 14 once, so we write 1 in the quotient place and subtract 9 from 14 which leaves us with 5.

Step 3: Add a decimal point in the quotient and bring down a 0 to make 5 as 50.

Step 4: Now divide 50 by 9. 9 goes into 50 five times, so we write 5 in the quotient place and subtract 45 from 50, leaving a remainder of 5.

Step 5: Bring down another 0 to make it 50 again and repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 14/9 as a decimal will be 1.5555...