0.05333333333 as a Fraction

Answer

The answer for 0.05333333333 as a fraction will be 4/75.

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, let's express 0.05333333333 as a fraction with 1 as the denominator. Here, 0.05333333333 becomes 0.05333333333/1.

Step 2: Recognize that this is a repeating decimal with a repeating part of '3'. To convert this repeating decimal to a fraction, set x = 0.05333333333.

Step 3: To remove the repeating part, multiply by 10 to get 10x = 0.5333333333. Then subtract the original x from this equation to eliminate the repeating decimal: 10x - x = 0.5333333333 - 0.05333333333 9x = 0.48

Step 4: Solve for x by dividing both sides by 9: x = 0.48/9 = 4/75

Thus, 0.05333333333 can be written as a fraction 4/75.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.

• 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.

• Simplification: The process of reducing a fraction to its simplest form.