5.33333 as a Fraction

Answer

The answer for 5.33333 as a fraction will be 16/3.

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, 5.33333 is the number on the numerator and the base number 1 will be the denominator. Then, 5.33333 becomes 5.33333/1.

Step 2: To remove the repeating decimal from a fraction, recognize that 5.33333 is the same as 5.3̅. This repeating decimal can be represented as a fraction by setting it as x = 5.3̅. Multiply both sides by 10 to shift the decimal point: 10x = 53.3̅.

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 53.3̅ - 5.3̅. This results in 9x = 48.

Step 4: Solve for x by dividing both sides by 9: x = 48/9. Simplify this fraction by dividing both the numerator and denominator by their GCD, which is 3: 48/9 = 16/3.

Thus, 5.33333 can be written as a fraction 16/3.

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.

Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.

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.