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111 LearnersLast updated on March 10th, 2025
1.77777 as a Fraction
Numbers can be categorized into different types. Fractions are one of their kinds. They are always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent 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, 1.77777, we are going to learn how to convert a repeating decimal to a fraction.
What is 1.77777 as a Fraction?
Answer
The answer for 1.77777 as a fraction will be 16/9.
Explanation
Converting a repeating decimal to a fraction is a task for students that can be done by following a systematic process. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 1.77777... (1)
Step 2: Since the decimal part 77777... is repeating, multiply the equation by 10 to shift the decimal point: 10x = 17.77777... (2)
Step 3: Subtract equation (1) from equation (2) to eliminate the repeating part: 10x - x = 17.77777... - 1.77777... 9x = 16 Step 4: Solve for x by dividing both sides by 9: x = 16/9
Thus, 1.77777 can be written as a fraction 16/9.
Important Glossaries for 1.77777 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 in which a digit or group 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.
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