50.33333 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 50.33333, we are going to learn how to convert a decimal to a fraction.

50.33333 as a Fraction for US Students

What is 50.33333 as a Fraction?

$50.33333 as a fraction$

Answer

The answer for 50.33333 as a fraction will be 151/3.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be converted to fraction for easy calculation. Here, 50.33333 is the number on the numerator and the base number 1 will be the denominator. Then, 50.33333 becomes 50.33333/1.

Step 2: To convert a repeating decimal to a fraction, use algebra. Let x = 50.33333...

Step 3: Multiply both sides by 10 to eliminate the repeating part: 10x = 503.33333...

Step 4: Subtract the original equation from this new equation: 10x - x = 503.33333... - 50.33333... 9x = 453

Step 5: Solve for x: x = 453/9

Step 6: Simplify the fraction: 453/9 = 151/3 Thus, 50.33333 can be written as a fraction 151/3.

Important Glossaries for 50.33333 as 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.
Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.
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.