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118 LearnersLast updated on March 8th, 2025
6.22222222222 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, 6.22222222222, we are going to learn how to convert a repeating decimal to a fraction.
What is 6.22222222222 as a Fraction?
Answer
The answer for 6.22222222222 as a fraction will be 28/4.5.
Explanation
Converting a repeating decimal to a fraction involves a few steps that can be easily followed. Here is how you can do it:
Step 1: Let x = 6.22222222222...
Step 2: Identify the repeating part of the decimal. Here, the repeating part is 2. Multiply x by 10 to shift the decimal point to the right: 10x = 62.22222222222...
Step 3: Subtract the original equation (x) from this new equation (10x) to eliminate the repeating decimal: 10x - x = 62.22222222222... - 6.22222222222... 9x = 56
Step 4: Solve for x: x = 56/9 Step 5: The integer part of the original number was 6, so the fraction is 6 + 56/9 = 28/4.5.
Thus, 6.22222222222 can be expressed as the fraction 28/4.5.
Important Glossaries for 6.22222222222 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Repeating Decimal: A decimal that has repeating numbers or sequences of numbers after the decimal point.
- 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 whole number combined with a fraction, such as 6 2/9 in this example.
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