0.5333333333 as a Fraction

Answer

The answer for 0.5333333333 as a fraction will be 8/15.

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, 0.5333333333 is a repeating decimal. Let x = 0.5333333333...

Step 2: Multiply both sides by 10 to move one decimal place to the right. 10x = 5.333333333...

Step 3: Subtract the original equation (x = 0.5333333333...) from this new equation: 10x - x = 5.333333333... - 0.5333333333... 9x = 4.8

Step 4: Solve for x by dividing both sides by 9: x = 4.8/9

Step 5: To remove the decimal from the fraction, multiply both the numerator and denominator by 10: (4.8/9) × (10/10) = 48/90

Step 6: Simplify the fraction by finding the GCD of 48 and 90, which is 6: 48/90 ÷ 6/6 = 8/15

Thus, 0.5333333333 can be written as a fraction 8/15.

• 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 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.