2.16666667 as a Fraction

Answer

The answer for 2.16666667 as a fraction will be 65/30 or 13/6 when simplified.

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 fraction for easy calculation. Here, 2.16666667 is the number on the numerator and the base number 1 will be the denominator. Then, 2.16666667 becomes 2.16666667/1.

Step 2: To remove the repeating decimal, we need to multiply both the numerator and denominator by 10,000,000 (as 2.16666667 has 8 decimal places). 2.16666667/1 × 10000000/10000000 = 21666667/10000000

Step 3: Now, to make the fraction simpler, find the GCD of 21666667 and 10000000, which is 333333. 21666667/10000000 ÷ 333333/333333 = 65/30 65/30 can be simplified further by dividing both numerator and denominator by 5. 65/30 = 13/6

Thus, 2.16666667 can be written as a 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.

• 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 in which a digit or a group of digits repeats infinitely.