1.06666666667 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. Fractions represent 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, 1.06666666667, we are going to learn how to convert a decimal to a fraction.

1.06666666667 as a Fraction for US Students

What is 1.06666666667 as a Fraction?

$1.06666666667 as a fraction$ Answer

The answer for 1.06666666667 as a fraction will be 16/15.

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: Separate the whole number from the decimal portion. Here, 1.06666666667 can be split into 1 + 0.06666666667.

Step 2: Convert 0.06666666667, a repeating decimal, into a fraction. Let x = 0.06666666667... Then, 10x = 0.6666666667... Subtracting these equations, 10x - x = 0.6666666667 - 0.06666666667 9x = 0.6 x = 0.6 / 9 x = 2/30, which simplifies to 1/15.

Step 3: Combine the whole number and the fractional part. 1 + 1/15 = 16/15.

Thus, 1.06666666667 can be written as a fraction 16/15.

Important Glossaries for 1.06666666667 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 recurring digits or sequence of digits after the decimal point indefinitely.