Converting decimal numbers to fractions is a fundamental concept in mathematics. In this article, we will explore three different methods to convert the decimal number 1.65 to a fraction.
Method 1: Simplifying the Decimal
The first method involves simplifying the decimal number 1.65 by expressing it as a fraction in its simplest form. To do this, we can write 1.65 as 165/100, which can be further simplified by dividing both the numerator and denominator by 5.
This gives us the fraction 33/20, which is the simplest form of 1.65.
Benefits of Simplifying Decimals
Simplifying decimals is an essential skill in mathematics, as it allows us to express complex numbers in a more manageable form. By simplifying decimals, we can perform arithmetic operations more efficiently and accurately.
Method 2: Using Equivalent Ratios
The second method involves using equivalent ratios to convert 1.65 to a fraction. To do this, we can set up an equivalent ratio by multiplying both the numerator and denominator of 1.65 by a common multiple.
By multiplying both the numerator and denominator by 20, we get the equivalent ratio 33/20, which is the same as the simplified fraction obtained in Method 1.
Advantages of Using Equivalent Ratios
Using equivalent ratios is a useful method for converting decimals to fractions, as it allows us to find the simplest form of a fraction by multiplying or dividing both the numerator and denominator by a common multiple.
Method 3: Using Division
The third method involves using division to convert 1.65 to a fraction. To do this, we can divide the decimal number 1.65 by 1, which gives us the quotient 1 and the remainder 0.65.
We can then convert the remainder 0.65 to a fraction by expressing it as 65/100, which can be further simplified to 13/20.
Benefits of Using Division
Using division is a straightforward method for converting decimals to fractions, as it allows us to find the quotient and remainder of a division problem.
Gallery of Printable Equivalent Ratios
What is the simplest form of the decimal number 1.65?
+The simplest form of the decimal number 1.65 is 33/20.
How can I convert a decimal number to a fraction using equivalent ratios?
+To convert a decimal number to a fraction using equivalent ratios, multiply both the numerator and denominator of the decimal number by a common multiple.
What is the benefit of using division to convert decimals to fractions?
+The benefit of using division to convert decimals to fractions is that it allows you to find the quotient and remainder of a division problem.
We hope this article has helped you understand the different methods for converting the decimal number 1.65 to a fraction. Whether you use simplifying decimals, equivalent ratios, or division, the key is to find the simplest form of the fraction. We encourage you to practice these methods and explore other ways to convert decimals to fractions.