1.16666666 as a Fraction

Answer

The answer for 1.16666666 as a fraction will be 7/6.

Explanation

Converting a repeating decimal to a fraction can be done using a straightforward method. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 1.16666666... (where the 6 repeats).

Step 2: Multiply both sides by 10 to move the repeating part: 10x = 11.66666666...

Step 3: Subtract the original x from this equation to eliminate the repeating part: 10x - x = 11.66666666... - 1.16666666... 9x = 10.5

Step 4: Solve for x: x = 10.5/9 Step 5: Simplify the fraction: 10.5/9 = 21/18 = 7/6

Thus, 1.16666666 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 fraction in which a digit or group of digits repeats infinitely.

• Simplifying: The process of reducing a fraction to its simplest form.

• Mixed Number: A whole number and a proper fraction combined, representing a sum.