2.16666 as a Fraction

Answer

The answer for 2.16666 as a fraction will be 65/30.

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, any decimal number should be converted to a fraction for easy calculation. Here, 2.16666 is the number, and we recognize that it is a repeating decimal. To express this, we set x = 2.16666.

Step 2: Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 21.6666...

Step 3: Subtract the original equation from this new equation to eliminate the repeating decimal: 10x - x = 21.6666... - 2.16666... 9x = 19.5

Step 4: Solve for x by dividing both sides by 9: x = 19.5/9

Step 5: Simplify the fraction by multiplying both the numerator and the denominator by 2 to get rid of the decimal: x = 39/18

Step 6: Simplify further by dividing both the numerator and the denominator by their GCD, which is 3: x = 13/6

Thus, 2.16666 can be expressed as the fraction 13/6.

• 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 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.