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109 LearnersLast updated on March 7th, 2025
1.55555555556 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, the numbers in decimal are expressed with a decimal point (.), For example, 1.55555555556, we are going to learn how to convert a decimal to a fraction.
What is 1.55555555556 as a Fraction?
Answer
The answer for 1.55555555556 as a fraction will be 14/9.
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, 1.55555555556 is a repeating decimal where "5" repeats indefinitely.
Step 2: Let x = 1.55555555556…. Multiply both sides by 10 to shift the repeating part: 10x = 15.5555555556.
Step 3: Subtract the original equation (x = 1.55555555556…) from this new equation: 10x - x = 15.5555555556… - 1.55555555556… 9x = 14 Step 4: Solve for x to find the fraction: x = 14/9
Thus, 1.55555555556 can be expressed as the fraction 14/9.
Important Glossaries for 1.55555555556 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Repeating Decimal: A decimal in which a sequence of digits repeats 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.
- Mixed Number: A number consisting of an integer and a proper fraction.
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