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Last updated on March 4th, 2025

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3 5/6 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, 5 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 6. 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.

3 5/6 as a Decimal for Bahraini Students
Professor Greenline from BrightChamps

What is 3 5/6 as a decimal?

3 5/6 as a decimal

 

 

Answer

3 5/6 in decimals can be written as 3.8333... It is a recurring decimal, showing it will repeat the same digit infinitely.

 

Explanation

To convert 3 5/6 into a decimal, we first convert the fractional part 5/6 into a decimal and then add it to 3.

 

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

 

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (6) will be taken as the divisor.

 

Step 2: As 5 is smaller than 6, it can't be divided directly; here we will take the help of decimals. We will add 0 to the dividend, which will make 5 as 50, and add a decimal point in the quotient place.

 

Step 3: Now that it is 50, we can divide it by 6. Let's see how many times 6 fits into 50.

 

Step 4: 6 × 8 = 48, and subtracting 48 from 50 gives 2.

 

Step 5: Bring down another 0 to make 20, then divide 20 by 6.

 

Step 6: 6 × 3 = 18, and subtracting 18 from 20 gives 2.

 

Step 7: Repeat the division process; you will see that the remainder cycles, indicating a recurring decimal.

 

The fractional part 5/6 as a decimal is 0.8333..., and adding it to the whole number 3 gives us 3.8333...

Professor Greenline from BrightChamps

Important Glossaries for 3 5/6 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.

 

  • Recurring Decimal: A decimal in which a digit or a group of digits repeats infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Bahrain

At BrightChamps, math questions are more than just sums—they open the door to many opportunities! We’re dedicated to helping children all over Bahrain build key skills, such as today’s focus on the 3 5/6 as a Decimal, with a special focus on decimal conversions—in a lively, fun, and easy-to-follow way. Whether your child is figuring out the speed of a roller coaster at Bahrain’s Wahooo! Waterpark, tracking scores at a local football match, or managing their allowance for gadgets, mastering math gives them confidence to face everyday tasks. Our lessons are interactive and enjoyable. Because kids in Bahrain learn differently, we tailor our teaching to suit each child’s style. From the lively city of Manama to its peaceful beaches, BrightChamps makes math come alive, making it relevant and exciting throughout Bahrain. Let’s make decimal conversions a fun part of every child’s learning journey!
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