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116 LearnersLast updated on March 11th, 2025
2.91666666667 as a Fraction
Numbers can be categorized into different types. 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. 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, 2.91666666667, we are going to learn how to convert a decimal to a fraction.
What is 2.91666666667 as a Fraction?
Answer
The answer for 2.91666666667 as a fraction will be 35/12.
Explanation
Converting a decimal to a fraction requires a few steps that can be done easily. You can follow the steps mentioned below to find the answer.
Step 1: Firstly, separate the whole number from the decimal part. Here, 2.91666666667 has 2 as the whole number and 0.91666666667 as the decimal part.
Step 2: Express the decimal part as a fraction. Notice that 0.91666666667 is a repeating decimal with 6 repeating. So, consider it as 0.91(6).
Step 3: Let x = 0.91666666667. Multiply by 10 to shift the decimal point: 10x = 9.1666666667
Step 4: Multiply by 10 again to align the repeating part: 100x = 91.666666667
Step 5: Subtract the first equation from the second equation: 100x - 10x = 91.666666667 - 9.166666667 90x = 82.5
Step 6: Solve for x: x = 82.5/90 = 11/12 Step 7: Combine the whole number with the fraction: 2 + 11/12 = 24/12 + 11/12 = 35/12
Thus, 2.91666666667 can be written as a fraction 35/12.
Important Glossaries for 2.91666666667 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 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.
