0.916666667 as a Fraction

Answer

The answer for 0.916666667 as a fraction will be 11/12.
 

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, identify that 0.916666667 is a repeating decimal. The repeating part is 6. Let's express 0.916666667 as a fraction.

Step 2: Let x = 0.916666667... Multiply by 10 to shift the decimal point: 10x = 9.16666667...

Step 3: Subtract x from 10x to eliminate the repeating decimal: 10x - x = 9.16666667... - 0.91666667... 9x = 8.25

Step 4: Solve for x by dividing both sides by 9: x = 8.25/9

Step 5: Convert 8.25 to a fraction: 8.25 = 33/4 Now, we have: x = (33/4) / 9 = 33/36

Step 6: Simplify the fraction by finding the GCD of 33 and 36, which is 3: 33/36 = 11/12 Hence, 0.916666667 is in the form of the fraction 11/12.

Thus, 0.916666667 can be written as a fraction 11/12.

• 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.