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Last updated on March 4th, 2025

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3 3/16 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, 3 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.

3 3/16 as a Decimal for UAE Students
Professor Greenline from BrightChamps

What is 3 3/16 as a decimal?

3 3/16 as a decimal

 

 

Answer

3 3/16 in decimals can be written as 3.1875. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

To get 3 3/16 in decimal, we will use division for the fractional part.

 

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

 

Step 1: Identify the whole number, numerator, and denominator. The whole number is 3, the numerator (3) will be taken as the dividend, and the denominator (16) will be taken as the divisor.

 

Step 2: Divide 3 by 16. Since 3 is smaller than 16, we add a decimal point and a zero to the dividend, making it 30.

 

Step 3: Divide 30 by 16, which goes 1 time (1 × 16 = 16). Subtracting 16 from 30 gives 14.

 

Step 4: Bring down another 0 to make it 140. Divide 140 by 16, which goes 8 times (8 × 16 = 128). Subtracting 128 from 140 gives 12.

 

Step 5: Bring down another 0 to make it 120. Divide 120 by 16, which goes 7 times (7 × 16 = 112). Subtracting 112 from 120 gives 8.

 

Step 6: Bring down another 0 to make it 80. Divide 80 by 16, which goes 5 times (5 × 16 = 80). Subtracting 80 from 80 gives 0, and the division ends here.

 

The answer for the fractional part is 0.1875, so the decimal representation of 3 3/16 is 3.1875.

Professor Greenline from BrightChamps

Important Glossaries for 3 3/16 as a decimal

  • Mixed Number: A number consisting of an integer and a proper fraction.

 

  • 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 United Arab Emirates

At BrightChamps, math questions are much more than numbers—they open doors to countless opportunities! We aim to help children across the UAE develop essential skills like today’s focus on the 3 3/16 as a Decimal, with a special emphasis on decimal conversions—in a way that’s fun, lively, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Dubai Parks and Resorts, keeping track of scores at a local football match, or managing their allowance for the latest gadgets, solid math skills give them the confidence to tackle everyday situations. Our lessons are designed to be interactive and enjoyable. Since children in the UAE learn differently, we customize our teaching to match each child’s style. From the towering skyscrapers of Dubai to the cultural richness of Abu Dhabi, BrightChamps brings math to life, making it exciting and relevant across the UAE. Let’s make decimal conversions a fun part of every child’s math journey!
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