1.08333333333 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A 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. A 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, 1.08333333333. We are going to learn how to convert a decimal to a fraction.

1.08333333333 as a Fraction for US Students

What is 1.08333333333 as a Fraction?

$1.08333333333 as a fraction$ Answer

The answer for 1.08333333333 as a fraction will be 13/12.

Explanation

Converting a decimal to a fraction involves understanding how to handle repeating decimals. Follow the steps below to find the answer for 1.08333333333.

Step 1: Identify the repeating part of the decimal. Here, the repeating part is '3'.

Step 2: Let x = 1.08333333333... Multiply both sides by 10 to remove the decimal point for the non-repeating part: 10x = 10.83333333333...

Step 3: Multiply both sides by 10 again to shift the repeating part: 100x = 108.33333333333...

Step 4: Subtract the first equation from the second to eliminate the repeating part: 100x - 10x = 108.33333333333... - 10.83333333333... 90x = 97.5

Step 5: Simplify the fraction: x = 97.5/90 Multiply numerator and denominator by 2 to eliminate the decimal: x = 195/180

Step 6: Simplify by finding the GCD of 195 and 180, which is 15: 195/180 = 13/12

Thus, 1.08333333333 can be written as a fraction 13/12.

Important Glossaries for 1.08333333333 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.
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.
Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.