1.04166666667 as a Fraction

Professor Greenline Explaining Math Concepts

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, 1.04166666667. We are going to learn how to convert a decimal to a fraction.

1.04166666667 as a Fraction for US Students

What is 1.04166666667 as a Fraction?

$1.04166666667 as a fraction$

Answer

The answer for 1.04166666667 as a fraction will be 1 1/24.

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: Identify the whole and decimal part of the number. Here, 1.04166666667 has a whole part of 1 and a decimal part of 0.04166666667.

Step 2: Let the repeating decimal 0.04166666667 be denoted as x. Then, x = 0.04166666667.

Step 3: Multiply x by 10 to shift one decimal place: 10x = 0.4166666667.

Step 4: Now multiply by 100 to shift the repeating part: 1000x = 41.66666667.

Step 5: Subtract the equation in Step 3 from the equation in Step 4: 1000x - 10x = 41.66666667 - 0.41666667, 990x = 41.25, x = 41.25/990.

Step 6: Simplify the fraction. The GCD of 41.25 and 990 is 41.25, so dividing both numerator and denominator by 41.25, we get: x = 1/24.

Hence, 1.04166666667 can be written as the fraction 1 1/24.

Important Glossaries for 1.04166666667 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.