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….

• 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.