1.1666666667 as a Fraction

Answer

The answer for 1.1666666667 as a fraction is 7/6.

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: Let's express 1.1666666667 as 1.16 with a repeating decimal notation (1.16̅). Here, 1.16̅ is the number, with 0.16̅ being the repeating part.

Step 2: Let x = 1.16̅. Multiply both sides by 100 to shift the repeating decimal: 100x = 116.6̅.

Step 3: Subtract the original equation from this new equation: 100x - x = 116.6̅ - 1.6̅, which simplifies to 99x = 115.

Step 4: Solve for x: x = 115/99, which simplifies to 7/6 after dividing both the numerator and denominator by the GCD, which is 11.

Thus, 1.1666666667 can be written as a fraction 7/6.

• 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.

• Repeating Decimal: A decimal that has one or more repeating digits after the decimal point 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.