BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon164 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

33 5/6 as a Decimal

Professor Greenline Explaining Math Concepts

This is a basic question on 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 top) and the denominator (the number below). The numerator indicates how many parts we have, in this case, 5. The denominator tells us how many parts make up a whole, in this case, 6. 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.

33 5/6 as a Decimal for US Students
Professor Greenline from BrightChamps

What is 33 5/6 as a decimal?

33 5/6 as a decimal

 

Answer

 

33 5/6 as a decimal can be written as 33.8333… It is a recurring decimal, meaning it repeats the same digit infinitely.

 

Explanation

 

To convert 33 5/6 into a decimal, we'll first convert the fractional part 5/6 into a decimal using division. Then, we will add this decimal to the whole number 33.

 

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend, and the denominator (6) will be taken as the divisor.

 

Step 2: Since 5 is smaller than 6, it can't be divided directly. We will use decimals by adding a decimal point and a zero to the dividend, making it 50.

 

Step 3: Divide 50 by 6. Six goes into 50 eight times (6 × 8 = 48). Write 8 in the quotient place.

 

Step 4: Subtract 48 from 50, leaving a remainder of 2. Bring down another 0, making it 20.

 

Step 5: Divide 20 by 6. Six goes into 20 three times (6 × 3 = 18). Write 3 in the quotient.

 

Step 6: Subtract 18 from 20, leaving a remainder of 2. This repeated division process shows a repeating decimal.

 

The decimal for 5/6 is 0.8333..., so adding this to the whole number 33 gives 33.8333...

Professor Greenline from BrightChamps

Important Glossaries for 33 5/6 as a decimal

  • Fraction: A numerical quantity representing a part of a whole, with a numerator and a denominator.
     
  • Decimal: A number that uses 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.
     
  • Recurring Decimal: A decimal that repeats the same digit or group of digits infinitely.
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 33 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!
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