1.04166666667 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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.

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.