Converting fractions to decimals is a fundamental concept in mathematics, and it's essential to understand the different methods to achieve this conversion. In this article, we'll explore three ways to convert the fraction 3/2 into decimal form.
Method 1: Division
One of the simplest ways to convert a fraction to a decimal is by performing division. In this case, we'll divide the numerator (3) by the denominator (2). This can be done using a calculator or by performing long division.
3 ÷ 2 = 1.5
As you can see, the result of this division is 1.5, which is the decimal equivalent of the fraction 3/2.
Why Division Works
Division works because it allows us to find the value of the numerator in terms of the denominator. In this case, we're essentially asking how many times 2 fits into 3. The result of this division is the decimal value of the fraction.
Method 2: Equivalent Fractions
Another way to convert a fraction to a decimal is by finding an equivalent fraction with a denominator that is a power of 10. In this case, we can multiply the numerator and denominator of 3/2 by 5 to get 15/10.
3/2 = 15/10
Since 10 is a power of 10 (10^1), we can easily convert this fraction to a decimal by reading the numerator as the decimal value.
15/10 = 1.5
Why Equivalent Fractions Work
Equivalent fractions work because they allow us to change the denominator of the fraction to a more convenient value. In this case, we're using a denominator that is a power of 10, which makes it easy to convert the fraction to a decimal.
Method 3: Decimal Conversion Tables
A decimal conversion table is a pre-computed table that shows the decimal equivalents of common fractions. These tables can be found online or in mathematical reference books.
Using a decimal conversion table, we can look up the fraction 3/2 and find its decimal equivalent.
3/2 = 1.5
Why Decimal Conversion Tables Work
Decimal conversion tables work because they provide a quick and easy way to find the decimal equivalent of a fraction. These tables are pre-computed, so we don't need to perform any calculations to find the decimal value.
In conclusion, there are several ways to convert the fraction 3/2 into decimal form. Whether you use division, equivalent fractions, or decimal conversion tables, the result is the same: 1.5. By understanding these different methods, you'll become more proficient in your ability to convert fractions to decimals.
What's your favorite method for converting fractions to decimals? Share your thoughts in the comments below!
What is the decimal equivalent of the fraction 3/2?
+The decimal equivalent of the fraction 3/2 is 1.5.
How do I convert a fraction to a decimal using division?
+To convert a fraction to a decimal using division, divide the numerator by the denominator.
What is an equivalent fraction?
+An equivalent fraction is a fraction that has the same value as the original fraction but with a different numerator and denominator.