10.33333333333 as a Fraction

Answer

The answer for 10.33333333333 as a fraction will be 31/3.

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: Identify the repeating part of the decimal. Here, the repeating part is 3. Express the decimal as a sum of its whole number part and its repeating decimal part. So, 10.33333333333... = 10 + 0.33333333333...

Step 2: Let x = 0.33333333333... Multiply both sides of the equation by 10 to shift the decimal point: 10x = 3.33333333333...

Step 3: Subtract the original equation (x = 0.33333333333...) from this new equation: 10x - x = 3.33333333333... - 0.33333333333... 9x = 3

Step 4: Solve for x: x = 3/9 Simplify the fraction: x = 1/3

Step 5: Combine the whole number and the fraction: 10 + 1/3 = 30/3 + 1/3 = 31/3

Thus, 10.33333333333 can be written as a fraction 31/3.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole, expressed as a ratio of two numbers.
   
• 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 sequence 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.