Converting fractions to decimals can be a straightforward process. To convert 2/12 to a decimal, we need to divide the numerator (2) by the denominator (12).
Dividing the Fraction
When we divide 2 by 12, we get:
2 ÷ 12 = 0.1667
Rounding the Decimal
We can round this decimal to a more simplified form. Since the repeating digits are.6, we can round it to 0.17.
However, a more accurate simplification would be to convert the fraction to its simplest form before converting it to a decimal.
Simplifying the Fraction
To simplify the fraction 2/12, we need to find the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of 2 and 12 is 2. We can divide both the numerator and the denominator by 2 to simplify the fraction:
2 ÷ 2 = 1 12 ÷ 2 = 6
So, the simplified fraction is 1/6.
Converting the Simplified Fraction to a Decimal
Now, we can convert the simplified fraction to a decimal:
1 ÷ 6 = 0.1667
Rounding this decimal to a more simplified form, we get:
0.17
Therefore, 2/12 in decimal form simplified is 0.17.
Real-World Applications
Converting fractions to decimals is an essential skill in various real-world applications, such as:
- Cooking: When following a recipe, you may need to convert fractions to decimals to ensure accurate measurements.
- Finance: In finance, decimal conversions are crucial for calculating interest rates, investment returns, and other financial metrics.
- Science: In scientific applications, decimal conversions are necessary for calculating quantities, such as pH levels, temperatures, and concentrations.
In conclusion, converting 2/12 to a decimal is a straightforward process that requires dividing the numerator by the denominator. Simplifying the fraction before converting it to a decimal can provide a more accurate result.
FAQ Section:
What is the simplest form of the fraction 2/12?
+The simplest form of the fraction 2/12 is 1/6.
How do I convert a fraction to a decimal?
+To convert a fraction to a decimal, divide the numerator by the denominator.
Why is it important to simplify fractions before converting them to decimals?
+Simplifying fractions before converting them to decimals can provide a more accurate result.