1/30 as a Decimal

Professor Greenline Explaining Math Concepts

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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.

What is 1/30 as a decimal?

$1/30 as a decimal$ Answer

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….