2.333 as a Fraction

Answer

The answer for 2.333 as a fraction will be 7/3.

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 a fraction for easy calculation. Here, 2.333 is the number on the numerator and the base number 1 will be the denominator. Then, 2.333 becomes 2.333/1.

Step 2: To remove decimals from a fraction, consider the repeating decimal. Here, 2.333 is equivalent to 2 + 0.333, where 0.333 is a repeating decimal (0.333...).

Step 3: Convert the repeating decimal 0.333... to a fraction. Let x = 0.333..., then 10x = 3.333... Subtracting, we get 9x = 3, thus x = 1/3.

Step 4: Substitute back into the original number: 2 + 1/3 = 7/3.

Thus, 2.333 can be written as a fraction 7/3.

• 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 one or more digits repeat infinitely.