1.1666666 as a Fraction

Answer

The answer for 1.1666666 as a fraction will be 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: Firstly, express the repeating decimal as a fraction. Let x = 1.1666666...

Step 2: Multiply by 10 to shift the decimal point for the repeating part: 10x = 11.6666666...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 11.6666666... - 1.1666666... 9x = 10.5

Step 4: Solve for x: x = 10.5/9

Step 5: Simplify the fraction by multiplying by 2 to eliminate the decimal: x = 21/18

Step 6: Simplify further by dividing both numerator and denominator by their GCD, which is 3: x = 7/6

Thus, 1.1666666 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.

• 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 that has one or more repeating numbers or sequences of numbers after the decimal point.