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Last updated on May 26th, 2025

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3/48 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 of the whole. It has two parts: the numerator (number on the top), which here is 3, representing how many parts out of the whole. The denominator (number below) shows how many parts make the whole, which here is 48. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

3/48 as a Decimal for UK Students
Professor Greenline from BrightChamps

What is 3/48 as a decimal?

3/48 as a decimal

 

Answer

 

3/48 in decimals can be written as 0.0625. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To get 3/48 in decimal, we will use the division method. Here, since 3 is smaller than 48, we will use the decimal method, which will give us 0.0625. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (48) will be taken as the divisor.

 

Step 2: As 3 is smaller than 48, it can't be divided, so we will use decimals. We will add 0 to the dividend, which will make 3 as 30, and add a decimal point in the quotient place.

 

Step 3: Now that it is 30, we can't divide it by 48, so we will bring down another 0, making it 300.

 

Step 4: 300 divided by 48 gives a nearest quotient of 6 because 48 × 6 = 288. Write 6 in the quotient place and subtract 288 from 300, resulting in 12.

 

Step 5: Bring down another 0, making it 120. Divide 120 by 48, giving a nearest quotient of 2, as 48 × 2 = 96. Write 2 in the quotient and subtract 96 from 120, resulting in 24.

 

Step 6: Bring down another 0, making it 240. Divide 240 by 48, giving a quotient of 5, as 48 × 5 = 240. Subtract 240 from 240, getting a remainder of 0. As the remainder is 0, the division process ends, and the answer for 3/48 as a decimal is 0.0625.

Professor Greenline from BrightChamps

Important Glossaries for 3/48 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.

 

  • 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.

 

  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
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 3/48 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!
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