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101 LearnersLast updated on March 24th, 2025
2.161616 as a Fraction
Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, numbers in decimal are expressed with a decimal point (.), For example, 2.161616, we are going to learn how to convert a decimal to a fraction.
What is 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.
Important Glossaries for 2.161616 as a Fraction
- 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.
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