2.161616 as a Fraction

Answer

The answer for 2.161616 as a fraction will be 71/33.

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: Identify the repeating part of the decimal. Here, 2.161616 has "16" as the repeating part.

Step 2: Let x = 2.161616... To eliminate the repeating decimal, multiply x by 100 (because the repeating sequence has 2 digits): 100x = 216.161616...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 100x - x = 216.161616... - 2.161616... 99x = 214

Step 4: Solve for x by dividing both sides by 99: x = 214/99 Step 5: Simplify the fraction. The GCD of 214 and 99 is 3. 214/99 = 71/33

Thus, 2.161616 can be written as a fraction 71/33.

• 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 figure or a group of figures is repeated indefinitely.

• 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.