53.3333333333 as a Fraction

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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, 53.3333333333, we are going to learn how to convert a decimal to a fraction.

What is 53.3333333333 as a Fraction?

$53.3333333333 as a fraction$

Answer

The answer for 53.3333333333 as a fraction will be 160/3.

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: Identify the repeating part of the decimal. Here, 0.3333333333 is the repeating part.

Step 2: Let x = 53.3333333333...

Step 3: Multiply the entire equation by 10 to shift the decimal point. 10x = 533.3333333333...

Step 4: Subtract the original equation (x = 53.3333333333...) from this new equation to eliminate the repeating part. 10x - x = 533.3333333333... - 53.3333333333... 9x = 480

Step 5: Solve for x. x = 480/9 Step 6: Simplify the fraction by finding the GCD of 480 and 9, which is 3. 480/9 = 160/3

Thus, 53.3333333333 can be written as a fraction 160/3.

Important Glossaries for 53.3333333333 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.
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.
Repeating Decimal: A decimal in which a digit or group of digits repeats indefinitely.