Table Of Contents
Last updated on March 7th, 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. 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, 0.46666666666, we are going to learn how to convert a decimal to a fraction.
The answer for 0.46666666666 as a fraction will be 7/15.
Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.
Step 1: Firstly, any decimal number should be expressed as a fraction for easy calculation. Here, 0.46666666666 can be seen as 0.4666... (with 6 repeating), which is represented as 0.46(6). We start with x = 0.46(6).
Step 2: To eliminate the repeating part, multiply by 10 to shift the decimal point one place to the right: 10x = 4.66(6).
Step 3: Multiply by 10 again to shift another decimal place for the repeating section: 100x = 46.66(6).
Step 4: Subtract the equation from Step 2 from the equation in Step 3: 100x - 10x = 46.66(6) - 4.66(6), 90x = 42.
Step 5: Solve for x by dividing both sides by 90: x = 42/90.
Step 6: Simplify the fraction by finding the GCD of 42 and 90, which is 6. Divide both the numerator and denominator by 6: 42/90 = 7/15.
Thus, 0.46666666666 can be written as a fraction 7/15.