What is 0.16666666666667 as a fraction?

Converting decimals to fractions can be useful in many situations. Let's go through the steps to convert a decimal 0.16666666666667 to a fraction.

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

Often, convert 0.16666666666667 to a fraction or 0.166666666667 to a fraction, depending on the task.

Understanding the decimal: “0.16666666666667”

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 0.16666666666667, 0 is the integer part and 16666666666667 is the fractional part.

Conversion formula (equation):

Solution:

Step-by-step solution:

• Step 1: First, write the decimal as a fraction over 1. This sets up the next steps. 0.16666666666667 = $\frac{0.16666666666667}{1}$
• Step 2: Decimals can have different lengths. We will align the number of digits after the decimal point. For 0.16666666666667, we have three digits. This means multiplying the fraction by a factor of 10 for each digit. Factor = 10¹⁴ = 100000000000000
• Step 3: Using this factor, multiply both the numerator and the denominator. $\frac{\mathrm{0.16666666666667\; \times \; 100000000000000}}{\mathrm{1\; \times \; 100000000000000}}$ = $\frac{16666666666667}{100000000000000}$
• 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. $\frac{\mathrm{16666666666667\; ÷\; 1}}{\mathrm{100000000000000\; ÷\; 1}}$ = $\frac{16666666666667}{100000000000000}$

Answer in mixed fraction format:

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