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, 5.83333333333, we are going to learn how to convert a decimal to a fraction.
Answer:
The answer for 5.83333333333 as a fraction will be 35/6.
Explanation:
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, separate the whole number from the decimal part. Here, 5 is the whole number, and 0.83333333333 is the repeating decimal part.
Step 2: Convert the repeating decimal 0.83333333333... to a fraction.
Let x = 0.83333333333...
Multiply both sides by 10 to shift the decimal point:
10x = 8.3333333333...
Subtract the original x from this equation: 10x - x = 8.3333333333... - 0.83333333333...
9x = 7.5
Solve for x:
x = 7.5/9
Simplify the fraction by multiplying the numerator and denominator by 10 to eliminate the decimal:
x = 75/90
Simplify further by finding the GCD of 75 and 90, which is 15: 75/90 = 5/6
Step 3: Add the whole number part back to the fraction: 5 + 5/6 = (30/6) + (5/6) = 35/6
Thus, 5.83333333333 can be written as a fraction 35/6.