16/13 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 16, represents how many parts out of the whole. The denominator (number below), here 13, shows how many parts make the whole. 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 those to the right represent the fractional part.

What is 16/13 as a decimal?

$16/13 as a decimal$

Answer

16/13 in decimals can be written as 1.230769…. It is a repeating decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To convert 16/13 into a decimal, we will use the division method. Here, as 16 is larger than 13, we can start dividing directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (16) will be taken as the dividend and the denominator (13) will be taken as the divisor.

Step 2: Divide 16 by 13. 13 goes into 16 once, so we write 1 in the quotient place.

Step 3: Subtract 13 from 16, which gives 3 as the remainder.

Step 4: Bring down a 0, making it 30, and divide by 13. 13 goes into 30 two times, so write 2 in the quotient place.

Step 5: Subtract 26 from 30, which gives 4 as the remainder.

Step 6: Bring down another 0, making it 40, and divide by 13. 13 goes into 40 three times, so write 3 in the quotient place.

Step 7: Subtract 39 from 40, which gives 1 as the remainder. Continue the division process. This process will continue with the sequence repeating. This process is called a repeating decimal.

The answer for 16/13 as a decimal will be 1.230769…