5.66666667 as a Fraction

Answer

The answer for 5.66666667 as a fraction is 17/3.

Explanation

Converting a repeating 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: Let x = 5.66666667. Identify the repeating part of the decimal, which is 6 here.

Step 2: Multiply x by 10 to the power of the number of repeating digits (here it's 1 repeating digit), so multiply by 10: 10x = 56.6666667

Step 3: Subtract the original equation from this new equation: 10x - x = 56.6666667 - 5.66666667 9x = 51

Step 4: Solve for x by dividing both sides by 9: x = 51/9

Step 5: Simplify the fraction: 51/9 = 17/3

Hence, 5.66666667 can be expressed as the fraction 17/3.

• 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 that has one or more repeating digits after the decimal point.
   
• 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.