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Last updated on May 26th, 2025

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7 5/6 as a Decimal

Professor Greenline Explaining Math Concepts

Converting 7 5/6 to a decimal is a straightforward process involving understanding mixed numbers and decimals. A mixed number consists of a whole number and a fraction. In this case, 7 is the whole number, and 5/6 is the fraction. A decimal represents a non-whole number 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.

7 5/6 as a Decimal for Indonesian Students
Professor Greenline from BrightChamps

What is 7 5/6 as a decimal?

7 5/6 as a decimal

 

Answer:

 

7 5/6 as a decimal is 7.8333... It is a recurring decimal, meaning the digit 3 repeats infinitely.

 

Explanation:

 

To convert 7 5/6 to a decimal, we separate the whole number and the fraction. The whole number 7 remains as is. To convert 5/6 to a decimal, we use division:

 

Step 1: Identify the numerator and denominator. The numerator (5) is the dividend, and the denominator (6) is the divisor.

 

Step 2: As 5 is smaller than 6, we use the decimal method, adding a 0 to the dividend (making it 50) and a decimal point in the quotient.

 

Step 3: Divide 50 by 6. The closest multiple is 6 × 8 = 48.

 

Step 4: Place 8 in the quotient, and subtract 48 from 50, leaving 2.

 

Step 5: Bring down another 0, making it 20. Divide 20 by 6. The closest multiple is 6 × 3 = 18.

 

Step 6: Place 3 in the quotient, and subtract 18 from 20, leaving 2. Continue this process, and you will see the decimal repeats as 0.8333...

 

Thus, 7 5/6 as a decimal is 7.8333...

Professor Greenline from BrightChamps

Important Glossaries for 7 5/6 as a decimal

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

 

  • Decimal: A numerical representation that includes a decimal point to separate the whole number from the fractional part.

 

  • Recurring Decimal: A decimal in which one or more digits repeat infinitely.

 

  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

 

  • Denominator: The bottom part of a fraction, indicating how many parts make up a whole.
Professor Greenline from BrightChamps

About BrightChamps in Indonesia

At BrightChamps, math questions are more than simple exercises—they open up countless possibilities! Our mission is to support kids across Indonesia in developing key skills like today’s focus on the 7 5/6 as a Decimal, with particular attention on decimal conversions—in a fun, engaging, and easy-to-understand way. Whether your child is figuring out the speed of a roller coaster at Dunia Fantasi, keeping score in a local badminton game, or managing their allowance to buy gadgets, mastering math builds their confidence to tackle daily challenges. Our interactive lessons make learning both fun and easy. Since children in Indonesia learn differently, we tailor our approach to meet their individual styles. From the lively streets of Jakarta to the gorgeous beaches of Bali, BrightChamps makes math relevant and exciting throughout Indonesia. Let’s make decimal conversions a fun part of every child’s learning journey!
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