50/3 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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: the numerator (the number on top), here 50, which represents how many parts out of the whole, and the denominator (the number below), here 3, which shows how many parts make the whole. 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 50/3 as a decimal?

$50/3 as a decimal$

Answer

50/3 in decimals can be written as 16.6666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 50/3 into a decimal, we will use the division method. Here, as 50 is larger than 3, we can divide directly. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (50) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: Divide 50 by 3. Since 50 is larger than 3, divide directly.

Step 3: 3 goes into 50 a total of 16 times because 3 × 16 = 48.

Step 4: Subtract 48 from 50, leaving a remainder of 2.

Step 5: Bring down a 0 to make it 20, then divide by 3.

Step 6: 3 goes into 20 a total of 6 times because 3 × 6 = 18.

Step 7: Subtract 18 from 20, leaving a remainder of 2. Repeat the process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 50/3 as a decimal will be 16.6666……

Important Glossaries for 50/3 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.
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 a sequence of digits repeats infinitely.