0.96666666666 as a Fraction

Answer

The answer for 0.96666666666 as a fraction will be 29/30.

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, express the repeating decimal as x. Let x = 0.96666666666...

Step 2: Multiply x by 10 to shift the decimal point to the right by one place, such that 10x = 9.6666666666...

Step 3: Subtract the original x from this new equation: 10x - x = 9.6666666666... - 0.96666666666... This simplifies to: 9x = 8.7

Step 4: Solve for x by dividing both sides by 9: x = 8.7 / 9

Step 5: To eliminate the decimal in the fraction, multiply the numerator and denominator by 10: 8.7/9 × 10/10 = 87/90

Step 6: Simplify the fraction by finding the GCD of 87 and 90, which is 3, and divide both the numerator and denominator by this GCD: 87/90 = 29/30

Thus, 0.96666666666 can be written as a fraction 29/30.

• Fraction: A numerical quantity representing a part of a whole, expressed in the form p/q where p is the numerator and q is the denominator.

• Decimal: A number that includes a decimal point to separate the whole part from the fractional part, often representing fractions in base ten.

• Numerator: The top part of a fraction, indicating how many parts of a whole are considered.

• Denominator: The bottom part of a fraction, showing how many parts make up the whole.

• Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.