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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 US 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 United States

At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 7 5/6 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!
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