What is 1.6666666666667 as a fraction? Tutorial in mathshowcase.info

Converting decimals to fractions can be useful in many situations. Let's go through the steps to convert a decimal 1.6666666666667 to a fraction.

You can try other values to get more familiar with the conversion process.

Often, convert 1.6666666666667 to a fraction or 1.66666666667 to a fraction, depending on the task.

Understanding the decimal: “1.6666666666667”

A decimal number consists of an integer part and a fractional part, separated by a decimal point. The integer part is on the left, and the fractional part is on the right. For example, in 1.6666666666667, 1 is the integer part and 6666666666667 is the fractional part.

Conversion formula (equation):

$1.6666666666667 = \frac{1.6666666666667}{1} = \frac{1.6666666666667 × 10000000000000}{1 × 10000000000000} = \frac{16666666666667}{10000000000000} = \frac{16666666666667÷1}{10000000000000÷1} = \frac{16666666666667}{10000000000000}$

Solution:

1.6666666666667 = $\frac{16666666666667}{10000000000000}$

What is a decimal?

A decimal is a numeral system that includes a point to separate the whole number part from the fractional part. This system makes it easy to work with numbers less than one.

What is a fraction?

A fraction is a mathematical way of showing a part of a whole. It has two parts: the numerator on top and the denominator below, which help express partial values and comparisons.

Step-by-step solution:

Step 1: First, write the decimal as a fraction over 1. This sets up the next steps. 1.6666666666667 = $\frac{1.6666666666667}{1}$
Step 2: Decimals can have different lengths. We will align the number of digits after the decimal point. For 1.6666666666667, we have three digits. This means multiplying the fraction by a factor of 10 for each digit. Factor = 10¹³ = 10000000000000
Step 3: Using this factor, multiply both the numerator and the denominator. $\frac{1.6666666666667 × 10000000000000}{1 × 10000000000000}$ = $\frac{16666666666667}{10000000000000}$
Step 4: Now we need to simplify the fraction by finding common divisors. The greatest common divisor is 1. Divide both the numerator and the denominator by this common divisor. $\frac{16666666666667 ÷ 1}{10000000000000 ÷ 1}$ = $\frac{16666666666667}{10000000000000}$

Answer in mixed fraction format:

1.6666666666667 =

1

666667

1000000

What is 1.6666666666667 as a fraction?