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106 LearnersLast updated on March 24th, 2025
0.38888888888 as a Fraction
Numbers can be categorized into different types. A fraction is one such type. 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, 0.38888888888. We are going to learn how to convert a decimal to a fraction.
What is 0.38888888888 as a Fraction?
Answer
The answer for 0.38888888888 as a fraction is approximately 35/90, which simplifies to 7/18.
Explanation
Converting a repeating decimal to a fraction involves recognizing the repeating part and using algebra to derive the fraction. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 0.38888888888... The repeating part is 8.
Step 2: Multiply both sides by 10 to shift the decimal point: 10x = 3.8888888888...
Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 3.8888888888... - 0.38888888888... which gives 9x = 3.5
Step 4: Solve for x by dividing both sides by 9: x = 3.5 / 9 = 35/90. Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 5: 35/90 = 7/18.
Thus, 0.38888888888 can be written as a fraction 7/18.
Important Glossaries for 0.38888888888 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.
- 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 group of digits repeats infinitely.
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