0.73333333333 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, 0.73333333333, we are going to learn how to convert a decimal to a fraction.

0.73333333333 as a Fraction for US Students

What is 0.73333333333 as a Fraction?

$0.73333333333 as a fraction$

Answer

The answer for 0.73333333333 as a fraction will be 11/15.

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: Recognize that 0.73333333333 is a repeating decimal, with the '3' repeating. Let x = 0.73333333333.

Step 2: Multiply x by 10 to shift the repeating part: 10x = 7.3333333333

Step 3: Subtract the original x from this equation to eliminate the repeating part: 10x - x = 7.3333333333 - 0.73333333333 9x = 6.6

Step 4: Solve for x by dividing by 9: x = 6.6/9

Step 5: Simplify the fraction 6.6/9 by multiplying both numerator and denominator by 10 to remove the decimal: 66/90

Step 6: Find the GCD of 66 and 90, which is 6, and divide both numerator and denominator by it: 66/90 = 11/15

Thus, 0.73333333333 as a fraction is 11/15.

Important Glossaries for 0.73333333333 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 infinitely.