3 Ways To Convert.9 To A Fraction

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Converting decimal numbers to fractions is a useful skill in mathematics, and in this article, we will explore three different methods to convert the decimal number 0.9 to a fraction.

0.9 is a decimal number that represents nine-tenths. It is a common decimal number that is often used in mathematical calculations. However, in some cases, it is necessary to convert 0.9 to a fraction, especially when working with fractions in mathematical problems.

Converting 0.9 to a fraction can be done in three different ways, which are discussed below.

Method 1: Using the Definition of a Decimal

The first method to convert 0.9 to a fraction is to use the definition of a decimal. A decimal number is a number that is expressed in the form of a fraction with a denominator of 10, 100, 1000, and so on. In the case of 0.9, we can write it as 9/10.

Therefore, the fraction equivalent of 0.9 is 9/10.

Method 2: Using Equivalent Ratios

The second method to convert 0.9 to a fraction is to use equivalent ratios. An equivalent ratio is a ratio that has the same value as another ratio, but with different numbers. In the case of 0.9, we can write it as an equivalent ratio of 90/100.

To simplify the ratio, we can divide both numbers by 10, which gives us 9/10.

Therefore, the fraction equivalent of 0.9 is 9/10.

Method 3: Using Algebraic Manipulation

The third method to convert 0.9 to a fraction is to use algebraic manipulation. Let's say we have the equation:

x = 0.9

To convert this equation to a fraction, we can multiply both sides by 10, which gives us:

10x = 9

Next, we can divide both sides by 10, which gives us:

x = 9/10

Therefore, the fraction equivalent of 0.9 is 9/10.

Gallery of Converting Decimals to Fractions

In conclusion, converting 0.9 to a fraction can be done using three different methods: using the definition of a decimal, using equivalent ratios, and using algebraic manipulation. All three methods give us the same result, which is that the fraction equivalent of 0.9 is 9/10.

We hope this article has been helpful in explaining the different methods to convert 0.9 to a fraction. If you have any questions or need further clarification, please don't hesitate to ask.

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