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Last updated on May 26th, 2025

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11/16 as a Decimal

Professor Greenline Explaining Math Concepts

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, 11 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 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.

11/16 as a Decimal for Filipino Students
Professor Greenline from BrightChamps

What is 11/16 as a decimal?

11/16 as a decimal

 

Answer

 

11/16 in decimals can be written as 0.6875. It is a terminating decimal, indicating it ends after a certain number of digits.

 

Explanation

 

To get 11/16 in decimal, we will use the division method.

 

Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend and the denominator (16) will be taken as the divisor.

Step 2: Since 11 is smaller than 16, it cannot be divided without using decimals. We will add 0 to the dividend to make it 110 and place a decimal point in the quotient place.

Step 3: Now divide 110 by 16. We find that 16 × 6 = 96, which is the largest multiple of 16 that fits into 110.

Step 4: Write 6 in the quotient place and subtract 96 from 110, giving us a remainder of 14.

Step 5: Bring down another 0 to the remainder to make it 140. Divide 140 by 16, giving us 16 × 8 = 128.

Step 6: Write 8 in the quotient place and subtract 128 from 140, giving a remainder of 12.

Step 7: Bring down another 0 to make it 120. Divide 120 by 16, giving us 16 × 7 = 112.

Step 8: Write 7 in the quotient place and subtract 112 from 120, giving us a remainder of 8.

Step 9: Bring down another 0 to make it 80. Divide 80 by 16, giving us 16 × 5 = 80.

Step 10: Write 5 in the quotient place. Since the remainder is now 0, the division process is complete.

 

The answer for 11/16 as a decimal is 0.6875.

Professor Greenline from BrightChamps

Important Glossaries for 11/16 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.
     
  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Philippines

At BrightChamps, math questions are more than just calculations—they open up countless possibilities! Our goal is to help children throughout the Philippines build important skills, such as today’s focus on the 11/16 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and simple way. Whether your child is figuring out the speed of a roller coaster at Enchanted Kingdom, following scores at a local basketball game, or managing their allowance to buy gadgets, mastering math gives them the confidence they need for everyday life. Our interactive lessons make learning fun and straightforward. Because kids in the Philippines learn in different ways, we tailor our approach to fit each child’s style. From the busy streets of Manila to the beautiful islands of Palawan, BrightChamps brings math to life, making it relatable and exciting across the Philippines. Let’s make decimal conversions a fun part of every child’s math journey!
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