BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon145 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

-3 7/8 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn about mixed numbers and decimals. A mixed number consists of a whole number and a fraction. Here, -3 is the whole number, and 7/8 is the fraction, representing 7 parts of 8 that make up the whole. A decimal is a way to represent numbers that are not whole, using a (.) or 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.

-3 7/8 as a Decimal for UK Students
Professor Greenline from BrightChamps

What is -3 7/8 as a decimal?

-3 7/8 as a decimal

 

 

Answer

-3 7/8 in decimals can be written as -3.875. This is a terminating decimal, which means it ends and does not repeat infinitely.

 

Explanation

To convert -3 7/8 into decimal, we first convert the fraction 7/8 into a decimal. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator (7) and the denominator (8). The numerator will be taken as the dividend, and the denominator will be taken as the divisor.

 

Step 2: Divide 7 by 8 using long division. Since 7 is less than 8, we add a decimal point and a zero to make it 70.

 

Step 3: 8 goes into 70 eight times because 8×8=64. Write 8 in the quotient place.

 

Step 4: Subtract 64 from 70 to get 6. Bring down another 0 to make it 60.

 

Step 5: 8 goes into 60 seven times because 8×7=56. Write 7 in the quotient place.

 

Step 6: Subtract 56 from 60 to get 4. Bring down another 0 to make it 40.

 

Step 7: 8 goes into 40 five times because 8×5=40. Write 5 in the quotient place. There is no remainder. Therefore, 7/8 as a decimal is 0.875.

 

Finally, combine it with the whole number -3 to get -3.875.

Professor Greenline from BrightChamps

Important Glossaries for -3 7/8 as a decimal

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

 

  • Fraction: A numerical quantity that represents 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.

 

  • Terminating Decimal: A decimal number that ends and does not repeat infinitely.

 

  • Long Division: A method used to divide two numbers, providing the quotient and remainder.
Professor Greenline from BrightChamps

About BrightChamps in United Kingdom

At BrightChamps, we see math questions as more than just sums—they’re gateways to endless opportunities! Our mission is to help children throughout the United Kingdom develop essential skills, focusing today on the -3 7/8 as a Decimal with special attention to decimal conversions—in a lively, enjoyable, and easy-to-understand way. Whether your child is working out the speed of a roller coaster at Alton Towers, following scores at a local football match, or managing their pocket money to buy the latest gadgets, mastering math empowers them to face daily challenges confidently. Our interactive sessions ensure learning is both simple and enjoyable. Because every child in the UK has their own learning style, we tailor our approach to fit them perfectly. From the bustling streets of London to the scenic coasts of Cornwall, BrightChamps makes math relatable and fun throughout the UK. Let’s make decimal conversions a delightful part of your child’s math 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