BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon139 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

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 Singaporean 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 Singapore

At BrightChamps, we believe math questions are more than just exercises—they’re opportunities for growth! Our mission is to support children across Singapore in developing important skills, such as today’s focus on the 7 5/6 as a Decimal with a key emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Universal Studios Singapore, tracking scores at a local football match, or managing their allowance for the latest gadgets, strong math skills build their confidence to face daily tasks. Our lessons are interactive and fun. Since kids in Singapore have diverse learning styles, we customize our teaching to suit each child. From the bustling city streets to the scenic gardens, BrightChamps makes math come alive, making it relevant and exciting throughout Singapore. Let’s make decimal conversions an enjoyable part of every child’s learning journey!
INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom