convert each fraction to a decimal 4/6

convert each fraction to a decimal 4/6

The correct answer and explanation is:

Correct Answer:

To convert the fraction 4/6 to a decimal: 4÷6=0.666…4 \div 6 = 0.666\ldots

So, 4/6 as a decimal is approximately 0.666…, which is a repeating decimal and can also be written as 0.667 if rounded to three decimal places.

Explanation (300 words):

Converting fractions to decimals is a fundamental concept in mathematics that helps us express parts of a whole in a different format. A fraction like 4/6 tells us we have 4 parts out of 6 equal parts. To convert it to a decimal, we simply divide the numerator (top number) by the denominator (bottom number).

Let’s walk through the process:

1. Understand the fraction:
   The fraction 4/6 means 4 divided by 6.
2. Perform the division:
   You divide 4 by 6 using long division or a calculator. 4÷6=0.666…4 \div 6 = 0.666\ldots The 6 repeats forever, so the result is a repeating decimal. This can be written as: 0.6‾0.\overline{6} where the bar above the 6 indicates that it repeats indefinitely.
3. Rounding (if needed):
   Sometimes we round repeating decimals for practical use. For instance, in financial or scientific settings, you might round 0.666… to 0.667 if working with three decimal places.
4. Simplifying the original fraction (optional):
   Before converting, you can simplify 4/6 by dividing both the numerator and denominator by their greatest common factor (2): 4/6=2/34/6 = 2/3 Converting 2/3 also gives 0.666…, confirming our result.

In summary, converting fractions to decimals helps us visualize and use numbers in everyday contexts such as money, measurements, and data analysis. The fraction 4/6 equals the repeating decimal 0.666…, which can also be written as 0.\overline{6} or 0.667 (rounded).