0.16666 Repeating as a Fraction
What is 0.16666 Repeating?
The decimal number 0.16666 repeating is a type of decimal that has a repeating pattern of digits. In this case, the pattern is "6" repeating indefinitely. This type of decimal is also known as a repeating decimal or non-terminating decimal.
Converting 0.16666 Repeating to a Fraction
To convert 0.16666 repeating to a fraction, we can use the following steps:
Step 1: Let x = 0.16666...
Step 2: Multiply both sides of the equation by 100 (since the repeating pattern starts after two decimal places).
100x = 16.666...
Step 3: Subtract the original equation from the new equation.
100x - x = 16.666... - 0.16666...
Step 4: Simplify the equation.
99x = 16.5
Step 5: Divide both sides of the equation by 99.
x = 16.5/99
Step 6: Simplify the fraction.
x = 1/6
Therefore, 0.16666 repeating as a fraction is 1/6.
Importance of Converting Decimals to Fractions
Converting decimals to fractions is an important skill in mathematics, as it allows us to perform arithmetic operations, such as addition, subtraction, multiplication, and division, more easily. Fractions also provide a more precise representation of certain quantities, making them essential in many mathematical and real-world applications.
In conclusion, 0.16666 repeating as a fraction is equal to 1/6, which can be obtained by using the steps outlined above. This conversion is essential in various mathematical and practical contexts, and understanding the process can help build a stronger foundation in mathematics.
