2.333333 as a Fraction

Answer:

The answer for 2.333333 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 repeating decimal number should be expressed as a fraction. Here, 2.333333 is a repeating decimal, where 3 is the repeating part. Let's denote it by x. So, x = 2.333333...

Step 2: Multiply both sides of the equation by 10 to shift the decimal point: 10x = 23.333333...

Step 3: Subtract the original equation (x = 2.333333...) from this new equation: 10x - x = 23.333333... - 2.333333... 9x = 21

Step 4: Solve for x by dividing both sides by 9: x = 21/9 Step 5: Simplify the fraction by dividing the numerator and the denominator by their GCD, which is 3: 21/9 = 7/3

Thus, 2.333333 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 a digit or group of digits repeats infinitely.