8.16666 as a Fraction

Answer

The answer for 8.16666 as a fraction will be 49/6.

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, 8.16666 is the number. We note that 8.16666 is a repeating decimal with 6 repeating.

Step 2: Let x = 8.16666... (where 6 is repeating). Then, multiply by 10 to shift the decimal point and separate the repeating part: 10x = 81.6666...

Step 3: Multiply by 10 again to align repeating parts: 100x = 816.6666...

Step 4: Subtract the first equation from the second to eliminate the repeating decimal: 100x - 10x = 816.6666... - 81.6666... 90x = 735

Step 5: Solve for x: x = 735/90

Step 6: Simplify the fraction by finding the GCD of 735 and 90, which is 15: 735/90 = 49/6

Thus, 8.16666 can be written as a fraction 49/6.

• 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.

• 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.

• Repeating Decimal: A decimal in which one or more digits repeat infinitely.