Table Of Contents
Last updated on March 6th, 2025
Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both whole and fractional parts. Decimals represent the fractional part of numbers. For example, 1/2. The numbers in decimal are expressed with a decimal point (.), for example, 3.66666666667. We are going to learn how to convert a decimal to a fraction.
The answer for 3.66666666667 as a fraction will be 11/3.
Converting a decimal to a fraction is a task 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 repeating decimal. Here, 3 is the whole number and 0.6666666667 is the repeating decimal part.
Step 2: Recognize the repeating part of the decimal, which is 0.666666... To convert this to a fraction, let x = 0.666666...
Step 3: Multiply x by 10 to shift the decimal point: 10x = 6.666666...
Step 4: Subtract the original x from this new equation: 10x - x = 6.666666... - 0.666666... 9x = 6
Step 5: Solve for x: x = 6/9, which simplifies to 2/3 by dividing both numerator and denominator by 3.
Step 6: Combine the whole number with the fraction part: 3 + 2/3 = (3*3 + 2)/3 = 11/3
Thus, 3.66666666667 can be written as a fraction 11/3.