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Last updated on March 15th, 2025

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3/17 as a Decimal

Professor Greenline Explaining Math Concepts

This is a simple question about decimal conversion. First, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), which indicates how many parts we have, and the denominator (the number on the bottom), which shows how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) 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.

3/17 as a Decimal for Vietnamese Students
Professor Greenline from BrightChamps

What is 3/17 as a decimal?

3/17 as a decimalAnswer

 

3/17 in decimals can be written as approximately 0.17647. This is a non-recurring decimal, meaning the digits do not repeat indefinitely.

 

Explanation

 

To convert 3/17 into a decimal, we will use long division. Let's break down the process step by step:

 

Step 1: Identify the numerator and denominator because the numerator (3) will be the dividend and the denominator (17) will be the divisor.

 

Step 2: Since 3 is smaller than 17, it cannot be divided directly, so we will use decimal points. We will add 0 to the dividend, making it 30, and place a decimal point in the quotient.

 

Step 3: Now, divide 30 by 17. 17 goes into 30 once, so we write 1 in the quotient and subtract 17 from 30, leaving us with 13.

 

Step 4: Bring down another 0, making it 130. Divide 130 by 17. 17 goes into 130 seven times, so we write 7 in the quotient and subtract 119 from 130, leaving us with 11.

 

Step 5: Bring down another 0, making it 110. Repeat the division process. This process continues until you decide on the required decimal places.

 

The answer for 3/17 as a decimal is approximately 0.17647.

Professor Greenline from BrightChamps

Important Glossaries for 3/17 as a decimal

  • Fraction: A numerical quantity representing a part of a whole, with a numerator and a denominator.

 

  • Decimal: A numerical system that uses 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.

 

  • Long Division: A method used to divide larger numbers, breaking down the division into a series of simpler steps.
Professor Greenline from BrightChamps

About BrightChamps in Vietnam

At BrightChamps, we believe math questions are more than just figures—they’re doors to many opportunities! We strive to help children throughout Vietnam build essential skills, such as today’s focus on the 3/17 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and easy-to-follow style. Whether your child is calculating the speed of a roller coaster at Suoi Tien Theme Park, tracking scores in a local football match, or managing their allowance for new gadgets, mastering math gives them the confidence they need in everyday life. Our engaging lessons make learning straightforward and fun. Because children in Vietnam have different learning preferences, we personalize our approach to suit each child. From the bustling streets of Ho Chi Minh City to the beautiful Ha Long Bay, BrightChamps brings math to life, making it relatable and exciting across Vietnam. Let’s make decimal conversions an enjoyable part of every child’s math journey!
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