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

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.