1.06666 as a Fraction

Answer:

The answer for 1.06666 as a fraction is 16/15.

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 decimal number as a fraction. Here, 1.06666 is the number with repeating decimals. We express it as a fraction: 1.06666 = 1 + 0.06666.

Step 2: To convert the repeating decimal part 0.06666 to a fraction, let x = 0.06666. Then, 100x = 6.6666.

Step 3: Subtract the first equation from the second equation: 100x - x = 6.6666 - 0.06666. This gives 99x = 6.6.

Step 4: Solve for x: x = 6.6/99 = 2/30 = 1/15 after simplifying.

Step 5: Add the whole number part: 1 + 1/15 = 16/15.

Thus, 1.06666 can be written as a fraction 16/15.

• 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 one or more digits repeat 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.