1/3 as a decimal

Professor Greenline Explaining Math Concepts

This is a simple question about decimal conversion. First, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top), which here is 1, representing how many parts out of the whole, and the denominator (the number below), which here is 3, showing how many parts make up the whole. A decimal is a way to represent numbers that are not whole, using 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.

1/3 as a decimal for US Students

What is ⅓ as a decimal?

Answer ⅓ in decimal form can be written as 0.33333….. It is a recurring decimal, meaning it repeats the same digit infinitely. Explanation To convert ⅓ to a decimal, we use the division method. Since 1 is smaller than 3, we will utilize the decimal method, which results in 0.3333. Let's follow the step-by-step breakdown of the process: Step 1: Identify the numerator and denominator. The numerator (1) will be the dividend, and the denominator (3) will be the divisor. Step 2: Since 1 is smaller than 3, it can't be divided directly. We will use decimals, adding a 0 to the dividend to make it 10, and place a decimal point in the quotient. Step 3: Now that we have 10, we can divide it by 3. Determine how many times 3 fits into 10. Step 4: 10 is not a multiple of 3, so we find the nearest number, which is 3 × 3 = 9. Write 3 in the quotient and subtract 9 from 10, leaving 1. Step 5: Bring down another 0 to the dividend, making it 10 again, and repeat the division process. The division continues infinitely without the remainder reaching 0, resulting in a recurring decimal. The answer for ⅓ as a decimal is 0.3333……

Important Glossaries for ⅓ as a decimal

Fraction: A numerical quantity that represents a part of a whole. Decimal: A number that uses 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. Recurring Decimal: A decimal in which one or more digits repeat infinitely.