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Last updated on May 26th, 2025

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1/30 as a Decimal

Professor Greenline Explaining Math Concepts

This is a straightforward problem on decimal conversion. First, we must understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the top number), which shows how many parts we have, and the denominator (the bottom number), which shows how many parts make the whole. Here, the fraction is 1/30, where 1 is the numerator and 30 is the denominator. A decimal is a way to represent a non-whole number, using a point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.

1/30 as a Decimal for Indonesian Students
Professor Greenline from BrightChamps

What is 1/30 as a decimal?

1/30 as a decimalAnswer

 

1/30 as a decimal can be written as 0.03333…. It is a repeating decimal, indicating that it repeats the same digit infinitely.

 

Explanation

 

To convert 1/30 into a decimal, we use division. Since 1 is smaller than 30, we utilize the decimal method to obtain 0.0333. Let's break down the steps:

 

Step 1: Identify the numerator and denominator. Here, the numerator (1) will be the dividend, and the denominator (30) will be the divisor.

 

Step 2: Since 1 is smaller than 30, direct division isn't possible, so we'll use decimals. We'll add 0 to the dividend, making 1 into 10, and insert a decimal point in the quotient.

 

Step 3: Now, treat it as 10 divided by 30. Since 10 is smaller, we add another 0 to make it 100.

 

Step 4: 100 divided by 30 goes 3 times (since 30 × 3 = 90). Write 3 in the quotient and subtract 90 from 100 to get 10.

 

Step 5: Bring down another 0 to make it 100 again, and repeat the division. The division continues as the remainder never reaches 0. This is known as a repeating decimal.

 

The answer for 1/30 as a decimal is 0.03333….

Professor Greenline from BrightChamps

Important Glossaries for 1/30 as a decimal

  • Fraction: A numerical representation that indicates a part of a whole, not a whole number.

 

  • Decimal: A base-ten numerical system using a decimal point to separate whole numbers from fractional parts.

 

  • Numerator: The top number in a fraction, showing how many parts are taken from the whole.

 

  • Denominator: The bottom number in a fraction, indicating how many parts make up a whole.

 

  • Repeating Decimal: A decimal in which one or several digits repeat infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Indonesia

At BrightChamps, math questions are more than simple exercises—they open up countless possibilities! Our mission is to support kids across Indonesia in developing key skills like today’s focus on the 1/30 as a Decimal, with particular attention on decimal conversions—in a fun, engaging, and easy-to-understand way. Whether your child is figuring out the speed of a roller coaster at Dunia Fantasi, keeping score in a local badminton game, or managing their allowance to buy gadgets, mastering math builds their confidence to tackle daily challenges. Our interactive lessons make learning both fun and easy. Since children in Indonesia learn differently, we tailor our approach to meet their individual styles. From the lively streets of Jakarta to the gorgeous beaches of Bali, BrightChamps makes math relevant and exciting throughout Indonesia. Let’s make decimal conversions a fun part of every child’s learning journey!
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