0.79166666666 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, 0.79166666666, we are going to learn how to convert a decimal to a fraction.

0.79166666666 as a Fraction for US Students

What is 0.79166666666 as a Fraction?

$0.79166666666 as a fraction$

Answer

The answer for 0.79166666666 as a fraction will be 19/24.

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: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 0.79166666666 is the number on the numerator and the base number 1 will be the denominator. Then, 0.79166666666 becomes 0.79166666666/1.

Step 2: To remove the repeating decimal from a fraction, you need to express it as a sum of a terminating decimal and a repeating part. Here, 0.79166666666 can be expressed as 0.79 + 0.001666666...

Step 3: Convert the terminating decimal 0.79 to a fraction by recognizing it as 79/100.

Step 4: The repeating decimal 0.001666666... can be expressed as 1/600.

Step 5: Add the two fractions: 79/100 + 1/600 = 474/600 + 1/600 = 475/600.

Step 6: Simplify the fraction by dividing the numerator and denominator by their GCD, which is 25. 475/600 = 19/24

Thus, 0.79166666666 can be written as a fraction 19/24.

Important Glossaries for 0.79166666666 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 sequence of digits repeats infinitely.