-3 1/3 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn mixed numbers and decimals. A mixed number consists of a whole number and a fraction. The fraction has two parts: the numerator (the number on the top) represents how many parts out of the whole, here it is 1. The denominator (the number below) shows how many parts make the whole, here it is 3. A decimal is a way to represent a number that is 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.

What is -3 1/3 as a decimal?

$-3 1/3 as a decimal$ Answer

-3 1/3 as a decimal can be written as -3.33333. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert -3 1/3 to a decimal, we will separate the whole number from the fraction and convert the fraction to a decimal.

Step 1: Identify the whole number and the fraction. Here, the whole number is -3, and the fraction is 1/3.

Step 2: Convert 1/3 to a decimal by using division. As 1 is smaller than 3, we will use the decimal method, which results in 0.3333.

Step 3: Let's see the step by step breakdown of the process: - Identify the numerator and denominator; the numerator (1) will be taken as the dividend, and the denominator (3) will be the divisor. - As 1 is smaller than 3, it can't be divided, so we use decimals. We add 0 to the dividend, making 1 as 10 and add a decimal point in the quotient. - Now 10 can be divided by 3. Let's see how many times 3 makes 10. - 10 is not a multiple of 3, so we look for the nearest number: 3 × 3 = 9. - Write 3 in the quotient place and subtract 9 from 10, giving 1. - Bring down another 0 in the dividend place and make 1 as 10, then repeat the division process. - The division process continues, and we don't get the remainder as 0; this process is called a recurring decimal.

Step 4: Combine the whole number and the decimal part. The answer for -3 1/3 as a decimal will be -3.333.

Important Glossaries for -3 1/3 as a decimal

Mixed Number: A number made up of a whole number and a fraction.
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.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.