16/15 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, 16 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 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 16/15 as a decimal?

$16/15 as a decimal$

Answer

16/15 in decimals can be written as 1.06666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 16/15 in decimal, we will use the division method. Here, as 16 is greater than 15, we can 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 (16) will be taken as the dividend and the denominator (15) will be taken as the divisor.

Step 2: Divide 16 by 15. The whole number part of the quotient is 1.

Step 3: Subtract 15 from 16 gives 1 as the remainder.

Step 4: Bring down a 0 and make it 10. Divide 10 by 15 to continue.

Step 5: As 10 is smaller than 15, bring down another 0 to make it 100. Divide 100 by 15 gives 6. Write 6 in the quotient place, subtract 90 from 100 gives 10.

Step 6: Repeat the process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 16/15 as a decimal will be 1.0666……