BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon167 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

5 3/8 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), which represents how many parts out of the whole, and the denominator (number below), which shows how many parts make the whole. A mixed number, like 5 3/8, includes a whole number and a fraction. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

5 3/8 as a Decimal for Filipino Students
Professor Greenline from BrightChamps

What is 5 3/8 as a decimal?

5 3/8 as a decimal

 

Answer

 

5 3/8 as a decimal can be written as 5.375. It is a terminating decimal, meaning it does not repeat but ends after a few digits.

 

Explanation

 

To convert 5 3/8 to a decimal, we will first convert the fraction 3/8 into a decimal. Let's use the division method to do this:

 

Step 1: Identify the numerator (3) and the denominator (8).

 

Step 2: Divide 3 by 8 using long division.

 

Step 3: Since 3 is smaller than 8, we add a decimal point to the quotient and a zero to the dividend, making it 30.

 

Step 4: Determine how many times 8 goes into 30. It goes 3 times (8 x 3 = 24). Write 3 in the quotient.

 

Step 5: Subtract 24 from 30, which leaves us with 6. Bring down another 0, making it 60.

 

Step 6: 8 goes into 60 seven times (8 x 7 = 56). Write 7 in the quotient.

 

Step 7: Subtract 56 from 60, which leaves us with 4. Bring down another 0, making it 40.

 

Step 8: 8 goes into 40 five times (8 x 5 = 40), leaving no remainder. Write 5 in the quotient. Now, 3/8 as a decimal is 0.375. To find 5 3/8 as a decimal, simply add the whole number part: 5 + 0.375 = 5.375.

Professor Greenline from BrightChamps

Important Glossaries for 5 3/8 as a decimal

  • Fraction: A numerical quantity that is not a whole number, representing 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.

 

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

 

  • 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.
Professor Greenline from BrightChamps

About BrightChamps in Philippines

At BrightChamps, math questions are more than just calculations—they open up countless possibilities! Our goal is to help children throughout the Philippines build important skills, such as today’s focus on the 5 3/8 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and simple way. Whether your child is figuring out the speed of a roller coaster at Enchanted Kingdom, following scores at a local basketball game, or managing their allowance to buy gadgets, mastering math gives them the confidence they need for everyday life. Our interactive lessons make learning fun and straightforward. Because kids in the Philippines learn in different ways, we tailor our approach to fit each child’s style. From the busy streets of Manila to the beautiful islands of Palawan, BrightChamps brings math to life, making it relatable and exciting across the Philippines. Let’s make decimal conversions a fun part of every 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