27/16 as a Decimal

Professor Greenline Explaining Math Concepts

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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 of the whole. It has two parts: the numerator (number on the top) here, 27 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 16. 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 27/16 as a decimal?

$27/16 as a decimal$

Answer

27/16 in decimals can be written as 1.6875. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 27/16 in decimal, we will use the division method. Here, 27 is larger than 16, so we can proceed directly with the division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (27) will be taken as the dividend and the denominator (16) will be taken as the divisor.

Step 2: Divide 27 by 16. 16 goes into 27 one time. Place 1 in the quotient place. Multiply 1 by 16, which gives 16. Subtract 16 from 27, leaving a remainder of 11.

Step 3: Bring down a 0, making it 110. Divide 110 by 16. 16 goes into 110 six times. Place 6 in the quotient after the decimal point. Multiply 6 by 16, which gives 96. Subtract 96 from 110, leaving a remainder of 14.

Step 4: Bring down another 0, making it 140. Divide 140 by 16. 16 goes into 140 eight times. Place 8 in the quotient. Multiply 8 by 16, which gives 128. Subtract 128 from 140, leaving a remainder of 12.

Step 5: Bring down another 0, making it 120. Divide 120 by 16. 16 goes into 120 seven times. Place 7 in the quotient. Multiply 7 by 16, which gives 112. Subtract 112 from 120, leaving a remainder of 8.

Step 6: Bring down another 0, making it 80. Divide 80 by 16. 16 goes into 80 five times. Place 5 in the quotient. Multiply 5 by 16, which gives 80, leaving a remainder of 0.

The division process concludes as we reach a remainder of 0, showing 27/16 as a decimal is 1.6875.