A terminating decimal is a decimal that ends in a finite number of digits. It is a type of decimal representation that has a finite number of digits after the decimal point. When a fraction has a denominator that is a power of 10, then the fraction can be expressed as a terminating decimal. For example, 1/10 can be expressed as 0.1, which is a terminating decimal.
In this article, we will discuss the question of whether 9/15 is a terminating decimal or not. We will explore the different ways of expressing 9/15 as a decimal and explain how to determine if it is a terminating decimal. We will also explain how to convert fractions to decimals and why understanding fractions is important.
Expressing 9/15 As A Decimal
To determine if 9/15 is a terminating decimal, we must first express it as a decimal. Fractions are expressed as decimals by dividing the numerator by the denominator. In this case, 9/15 can be expressed as 0.6. As this is a finite number of digits after the decimal point, it is a terminating decimal.
However, when the denominator is not a power of 10, the fraction can still be expressed as a decimal. To do this, we must divide the numerator by the denominator and multiply the result by 10 until there is a finite number of digits after the decimal point. In this case, 9/15 can be expressed as 0.60000, which is a terminating decimal.
Converting Fractions To Decimals
Converting fractions to decimals is an important skill to have. To convert a fraction to a decimal, the fraction must first be simplified. Simplifying a fraction means finding an equivalent fraction with a smaller numerator and denominator. Once the fraction is simplified, it can be expressed as a decimal by dividing the numerator by the denominator.
For example, to convert 4/6 to a decimal, we must first simplify the fraction. 4/6 can be simplified to 2/3. To express this fraction as a decimal, we must divide 2 by 3, which gives us 0.66666. This is a terminating decimal.
Recurring Decimals
Sometimes a fraction cannot be expressed as a terminating decimal. This happens when the fraction has a denominator that is not a power of 10. In this case, the fraction can be expressed as a recurring decimal. A recurring decimal is a decimal that has an infinite number of digits after the decimal point.
For example, 1/3 can be expressed as a recurring decimal. To express 1/3 as a decimal, we must divide 1 by 3, which gives us 0.333333, which is a recurring decimal as the digits after the decimal point repeat infinitely.
Understanding Fractions
Understanding fractions is important in order to convert fractions to decimals. A fraction is a numerical expression that represents a part of a whole. It consists of two numbers, a numerator and a denominator. The numerator represents the number of parts, and the denominator represents the total number of parts in the whole.
For example, 1/4 is a fraction that represents one part of a whole that is divided into four parts. To convert this fraction to a decimal, we divide the numerator by the denominator, which gives us 0.25. This is a terminating decimal.
Is 9/15 A Terminating Decimal?
To answer the question of whether 9/15 is a terminating decimal, we must express it as a decimal. To do this, we divide the numerator by the denominator, which gives us 0.6. As this is a finite number of digits after the decimal point, it is a terminating decimal.
Conclusion
In conclusion, 9/15 is a terminating decimal when expressed as a decimal. To determine if a fraction is a terminating decimal, we must divide the numerator by the denominator and check if there is a finite number of digits after the decimal point. Understanding fractions is important in order to convert fractions to decimals.
