7.333 as a Fraction

Professor Greenline Explaining Math Concepts

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

What is 7.333 as a Fraction?

$7.333 as a fraction$

Answer

The answer for 7.333 as a fraction will be 220/30 or 22/3 in its simplest form.

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 a fraction for easy calculation. Here, 7.333 is the number on the numerator and the base number 1 will be the denominator. Then, 7.333 becomes 7.333/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are three decimal places). 7.333/1 × 1000/1000 = 7333/1000

Step 3: Here 333 is the repeating part of the decimal. Convert this repeating decimal to a fraction: - Let x = 7.333... - Multiply both sides by 1000 to move the decimal: 1000x = 7333.333... - Subtract the original x from this equation: 1000x - x = 7333.333... - 7.333... - This gives 999x = 7326 - Therefore, x = 7326/999 which simplifies to 22/3.

Thus, 7.333 can be written as a fraction 22/3.

Important Glossaries for 7.333 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.