1.166666666666667 as a Fraction

Professor Greenline Explaining Math Concepts

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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. Numbers in decimal form are expressed with a decimal point (.), for example, 1.166666666666667. We are going to learn how to convert a decimal to a fraction.

What is 1.166666666666667 as a Fraction?

$1.166666666666667 as a fraction$

Answer

The answer for 1.166666666666667 as a fraction will be 7/6.

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, 1.166666666666667 is the number on the numerator, and the base number 1 will be the denominator. Then, 1.166666666666667 becomes 1.166666666666667/1.

Step 2: Identify the repeating part of the decimal, which is 0.166666666666667. Convert the repeating decimal to a fraction. Let x = 0.166666666666667. Then, 10x = 1.66666666666667. Subtracting these gives 9x = 1.5, so x = 1.5/9 = 1/6.

Step 3: Combine the whole number part and the fractional part. 1 + 1/6 = 6/6 + 1/6 = 7/6.

Thus, 1.166666666666667 can be written as a fraction 7/6.

Important Glossaries for 1.166666666666667 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 that has one or more repeating digits or a repeating sequence of digits after the decimal point. ```