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Last updated on May 26th, 2025

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1 6/7 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: the numerator (number on the top), here 6, which represents how many parts out of the whole, and the denominator (number below), here 7, which shows how many parts make the whole. 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

1 6/7 as a Decimal for Thai Students
Professor Greenline from BrightChamps

What is 1 6/7 as a decimal?

1 6/7 as a decimal

 

Answer

 

1 6/7 in decimal can be written as 1.8571. It is a non-recurring decimal as it terminates.

 

Explanation

 

To convert 1 6/7 to a decimal, convert the fractional part 6/7 to a decimal. Then add this to the whole number 1. Let's see the step-by-step breakdown of the process.

 

Step 1: Identify the whole number and the fractional part. The whole number is 1, and the fraction is 6/7.

 

Step 2: Convert the fraction 6/7 to a decimal using long division.

 

Step 3: Divide 6 by 7. Since 6 is smaller than 7, we will add a decimal and a zero, turning 6 into 60.

 

Step 4: 7 goes into 60 eight times (7 × 8 = 56). Write 8 in the quotient and subtract 56 from 60, giving 4.

 

Step 5: Bring down another 0, making it 40. 7 goes into 40 five times (7 × 5 = 35). Write 5 in the quotient and subtract 35 from 40, giving 5.

 

Step 6: Bring down another 0, making it 50. 7 goes into 50 seven times (7 × 7 = 49). Write 7 in the quotient and subtract 49 from 50, giving 1.

 

Step 7: Bring down another 0, making it 10. 7 goes into 10 one time (7 × 1 = 7). Write 1 in the quotient and subtract 7 from 10, giving 3.

 

Step 8: Bring down another 0, making it 30. 7 goes into 30 four times (7 × 4 = 28). Write 4 in the quotient and subtract 28 from 30, giving 2.

 

Step 9: Keep repeating the division process to get the decimal 0.8571 for 6/7.

 

Step 10: Add the whole number 1 to the decimal 0.8571 to get 1.8571.

 

The answer for 1 6/7 as a decimal is 1.8571.

Professor Greenline from BrightChamps

Important Glossaries for 1 6/7 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.

 

  • Non-Recurring Decimal: A decimal that terminates and does not repeat infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Thailand

At BrightChamps, math questions go beyond simple problems—they open the door to endless opportunities! Our goal is to help children throughout Thailand master important skills, such as today’s focus on the 1 6/7 as a Decimal, with a special focus on decimal conversions—in a way that’s engaging, fun, and simple to follow. Whether your child is calculating the speed of a roller coaster at Dream World, tracking scores at a local football match, or managing their allowance to buy the latest gadgets, solid math skills give them the confidence to handle everyday tasks. Our lessons are designed to be interactive and enjoyable. Because children in Thailand have different learning styles, we customize our teaching to suit each one. From the busy streets of Bangkok to the tropical islands of Phuket, BrightChamps brings math to life, making it relatable and exciting across Thailand. Let’s make decimal conversions a fun part of every child’s math journey!
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