87 1/3 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (the number on the top) here, 1 represents how many parts out of the whole. 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 87 1/3 as a decimal?

$87 1/3 as a decimal$ Answer

87 1/3 in decimals can be written as 87.3333. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 87 1/3 into a decimal, we will first convert 1/3 into a decimal using the division method and then add it to 87. Here’s the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. The whole number is 87, and the fraction is 1/3.

Step 2: Convert the fraction 1/3 into a decimal using division. Since 1 is smaller than 3, use decimal multiplication to get 0.3333.

Step 3: Add the decimal obtained from the fraction to the whole number: 87 + 0.3333.

Step 4: The division process for 1/3 repeats, and we don't get the remainder as 0, so the process is called a recurring decimal.

Therefore, 87 1/3 as a decimal is 87.3333.

Important Glossaries for 87 1/3 as a decimal

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 number that has digits that repeat infinitely.
Whole Number: A number without fractions; an integer.
Mixed Number: A number consisting of an integer and a proper fraction.